Grade 9 - 10 Geometry

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Teacher: Thomas
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Section 0: Getting Started

0 Welcome and Course Overview 05:07

A welcome message from the instructor and overview of the structure of the course.

Section 1: Tools of Geometry

1 Lesson 1: Points, Lines, Planes 12:21

Lesson Objectives:

1. Identify and model points, lines, and planes.

2. Identify intersecting lines and planes.

1 Lesson 1 Practice Review 08:17

1 Lesson 1.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

2 Lesson 2: Linear Measure 15:18

Lesson Objectives:

1. Measure segments

2. Calculate with measures

2 Lesson 2 Practice Review 08:44

2 Lesson 1.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

3 Lesson 3: Distance and Midpoint 15:18

Lesson Objectives:

1. Find the distance between two points.

2. Find the midpoint of a segment.

3 Lesson 3 Practice Review 11:07

3 Lesson 1.3 Knowledge Check 00:00

Download the Knowledge Check questions for this lesson and enter your answers using the corresponding TEST icon.

4 Lesson 4: Angle Measures 13:25

Lesson Objectives:

1. Measure and classify angles.

2. Identify and use congruent angles and the bisector of an angle.

4 Lesson 4 Practice Review 13:08

4 Lesson 1.4 Knowledge Check 00:00

Download the Knowledge Check questions for this lesson and enter your answers using the corresponding TEST icon.

5 Lesson 5: Angle Relationships 14:49

Lesson Objectives:

1. Identify and use special pairs of angles.

2. Identify perpendicular lines.

5 Lesson 5 Practice Review 12:04

5 Lesson 1.5 Knowledge Check 00:00

Download the Knowledge Check questions for this lesson and enter your answers using the corresponding TEST icon.

6 Lesson 6: Polygons, Area and Perimeter 12:13

Lesson Objectives:

1. Identify and name polygons.

2. Find the perimeter, circumference, and area of two-dimensional figures.

6 Lesson 6 Practice Review 07:05

6 Lesson 1.6 Knowledge Check 00:00

Download the Knowledge Check questions for this lesson and enter your answers using the corresponding TEST icon.

7 Section 1 Exam 00:00

1. Download and complete the Section 1 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 1 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 1 Answer Key from the Resources section and review any missed questions with the student.

Section 2: Reasoning and Proof

8 Lesson 1: Inductive Reasoning 10:35

Lesson Objectives:

1. Make conjectures based on inductive reasoning.

2. Find counterexamples.

8 Lesson 1 Practice Review 04:36

8 Lesson 2.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

9 Lesson 2: Deductive Reasoning 09:02

Lesson Objectives:

1. Use the Law of Detachment.

2. Use the Law of Syllogism.

9 Lesson 2 Practice Review 04:41

9 Lesson 2.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

10 Lesson 3: Conditional Statements 11:44

Lesson Objectives:

1. Analyze statements in if-then form.

2. Write the converse, inverse, and contrapositive of if-then statements.

10 Lesson 3 Practice Review 03:03

10 Lesson 2.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

11 Lesson 4: Algebraic Proofs 15:45

Lesson Objectives:

1. Use algebra to write two-column proofs.

2. Use properties of equality to write geometric proofs.

11 Lesson 4 Practice Review 12:22

11 Lesson 2.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

12 Lesson 5: Proving Segment and Angle Relationships 10:31

Lesson Objectives:

1. Write proofs involving segment addition.

2. Write proofs involving segment congruence.

3. Write proofs involving supplementary and complementary angles.

4. Write proofs involving congruent and right angles.

12 Lesson 5 Practice Review 16:06

12 Lesson 2.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

13 Section 2 Exam 00:00

1. Download and complete the Section X Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section X Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section X Answer Key from the Resources section and review any missed questions with the student.

Section 3: Parallel and Perpendicular Lines

14 Lesson 1: Parallel Lines and Transversals 12:04

Lesson Objectives:

1. Identify the relationships between two lines or two planes.

2. Name angle pairs formed by parallel lines and transversals.

14 Lesson 1 Practice Review 05:56

14 Lesson 3.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

15 Lesson 2: Angles and Parallel Lines 10:20

Lesson Objectives:

1. Use theorems to determine the relationships between specific pairs of angles.

2. Use algebra to find angle measurements.

15 Lesson 2 Practice Review 10:00

15 Lesson 3.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

16 Lesson 3: Slopes of Lines 15:56

Lesson Objectives:

1. Find the slopes of lines.

2. Use slope to identify parallel and perpendicular lines.

16 Lesson 3 Practice Review 06:22

16 Lesson 3.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

17 Lesson 4: Equations of Lines 19:18

Lesson Objectives:

1. Write an equation of a line given information about the graph.

2. Solve problems by writing equations.

17 Lesson 4 Practice Review 05:03

17 Lesson 3.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

18 Lesson 5: Proving Lines Parallel 09:43

Lesson Objectives:

1. Recognize angle pairs that occur with parallel lines.

2. Prove that two lines are parallel.

18 Lesson 5 Practice Review 12:36

18 Lesson 3.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

19 Lesson 6: Perpendiculars and Distance 12:16

Lesson Objectives:

1. Find the distance between a point and a line.

2. Find the distance between parallel lines.

19 Lesson 6 Practice Review 10:46

19 Lesson 3.6 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

20 Section 3 Exam 00:00

1. Download and complete the Section 3 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 3 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 3 Answer Key from the Resources section and review any missed questions with the student.

Section 4: Congruent Triangles

21 Lesson 1: Classifying Triangles 08:37

Lesson Objectives:

1. Identify and classify triangles by angle measures.

2. Identify and classify triangles by side measures.

21 Lesson 1 Practice Review 08:50

21 Lesson 4.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

22 Lesson 2: Angles of Triangles 08:33

Lesson Objectives:

1. Apply the Triangle Angle-Sum Theorem.

2. Apply Exterior Angle Theorem.

22 Lesson 2 Practice Review 11:57

22 Lesson 4.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

23 Lesson 3: Congruent Triangles 19:29

Lesson Objectives:

1. Name and use corresponding parts of congruent polygons.

2. Prove triangles congruent using the definition of congruence.

23 Lesson 3 Practice Review 15:01

23 Lesson 4.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

24 Lesson 4a: Proving Triangles Congruent - SSS, SAS 19:46

Lesson Objectives:

1. Use the SSS Postulate to test for triangle congruence.

2. Use the SAS Postulate to test for triangle congruence.

24 Lesson 4a Practice Review 15:29

24 Lesson 4.4a Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

25 Lesson 4b: Proving Triangles Congruent - ASA, AAS 08:35

Lesson Objectives:

1. Use the ASA Postulate to test for congruence.

2. Use the AAS Theorem to test for congruence.

25 Lesson 4b Practice Review 10:10

25 Lesson 4.4b Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

26 Lesson 5: Isosceles and Equilateral Triangles 10:26

Lesson Objectives:

1. Use properties of isosceles triangles.

2. Use properties of equilateral triangles.

26 Lesson 5 Practice Review 15:15

26 Lesson 4.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

27 Lesson 6: Congruence Transformations 12:25

Lesson Objectives:

1. Identify reflections, translations, and rotations.

2. Verify congruence after a congruence transformation.

27 Lesson 6 Practice Review 03:35

27 Lesson 4.6 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

28 Section 4 Exam 00:00

1. Download and complete the Section 4 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 4 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 4 Answer Key from the Resources section and review any missed questions with the student.

Section 5: Relationships in Triangles

29 Lesson 1: Bisectors of Triangles 16:51

Lesson Objectives:

1. Identify and use perpendicular bisectors in triangles.

2. Identify and use angle bisectors in triangles.

29 Lesson 1 Practice Review 06:55

29 Lesson 5.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.


I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

30 Lesson 2: Medians and Altitudes of Triangles 15:00

Lesson Objectives:

1. Identify and use medians in triangles.

2. Identify and use altitudes in triangles.

30 Lesson 2 Practice Review 19:24

30 Lesson 5.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.


I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

31 Lesson 3: Inequalities in 1 Triangle 07:51

Lesson Objectives:

1. Recognize and apply properties of inequalities to the measures of the angles of a triangle.

2. Recognize and apply properties of inequalities to the relationships between the angles and sides of a triangle.

31 Lesson 3 Practice Review 11:04

31 Lesson 5.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.


I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

32 Lesson 4: The Triangle Inequality Theorem 08:25

Lesson Objectives:

1. Use the Triangle Inequality Theorem to identify possible triangles.

2. Prove triangle relationships using the Triangle Inequality Theorem.

32 Lesson 4 Practice Review 07:05

32 Lesson 5.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.


I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

33 Lesson 5: Inequalities in Two Triangles 09:31

Lesson Objectives:

1. Apply the Hinge Theorem and its converse to make comparisons in two triangle.s

2. Prove triangle relationships using the Hinge Theorem or its converse.

33 Lesson 5 Practice Review 10:08

33 Lesson 5.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.


I have completed all work for this lesson. My parent/guardian has reviewed my Knowledge Check questions. I am prepared to move to the next lesson.

34 Section 5 Exam 00:00

1. Download and complete the Section 5 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 5 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 5 Answer Key from the Resources section and review any missed questions with the student.

Section 6: Quadrilaterals

35 Lesson 1: Angles of Polygons 11:48

Lesson Objectives:

1. Find and use the sum of the measures of the interior angles of a polygon.

2. Find and use the sum of the measures of the exterior angles of a polygon.

35 Lesson 1 Practice Review 08:42

35 Lesson 6.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

36 Lesson 2: Parallelograms 12:04

Lesson Objectives:

1. Recognize and apply properties of the sides and angles of parallelograms.

2. Recognize and apply properties of the diagonals of parallelograms.

36 Lesson 2 Practice Review 05:21

36 Lesson 6.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.Lesson 

37 Lesson 3: Tests for Parallelograms 08:59

Lesson Objectives:

1. Recognize the conditions that ensure a quadrilateral is a parallelogram.

2. Prove that a list of points forms a parallelogram in the coordinate plane.

37 Lesson 3 Practice Review 12:59

37 Lesson 6.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

38 Lesson 4: Rectangles 15:45

Lesson Objectives:

1. Recognize and apply properties of rectangles.

2. Determine whether parallelograms are rectangles.

38 Lesson 4 Practice Review 10:03

38 Lesson 6.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

39 Lesson 5: Rhombi and Squares 11:17

Lesson Objectives:

1. Recognize and apply the properties of rhombi and squares.

2. Determine whether quadrilaterals are rectangles, rhombi or squares.

39 Lesson 5 Practice Review 12:29

39 Lesson 6.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

40 Lesson 6: Trapezoids and Kites 12:46

Lesson Objectives:

1. Apply the properties of trapezoids.

2. Apply the properties of kites.

40 Lesson 6 Practice Review 06:58

40 Lesson 6.6 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

41 Section 6 Exam 00:00

1. Download and complete the Section 6 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 6 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 6 Answer Key from the Resources section and review any missed questions with the student.

Section 7: Proportions and Similarity

42 Lesson 1: Ratios & Proportions 13:03

Lesson Objectives:

1. Write ratios.

2. Write and solve proportions.

42 Lesson 1 Practice Review 08:07

42 Lesson 7.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

43 Lesson 2: Similar Polygons 19:53

Lesson Objectives:

1. Use proportions to identify similar polygons.

2. Solve problems using the properties of similar polygons.

43 Lesson 2 Practice Review 09:00

43 Lesson 7.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

44 Lesson 3: Similar Triangles 13:50

Lesson Objectives:

1. Identify similar triangles using the AA Similarity Postulate and the SSS and SAS Similarity Theorem.

2. Use similar triangles to solve problems.

44 Lesson 3 Practice Review 18:06

44 Lesson 7.3 Knowledge Check 00:00

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2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

45 Lesson 4: Parallel Lines & Proportional Parts 11:26

Lesson Objectives:

1. Use proportional parts within triangles.

2. Use proportional parts with parallel lines.

45 Lesson 4 Practice Review 08:30

45 Lesson 7.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

46 Lesson 5: Parts of Similar Triangles 09:02

Lesson Objectives:

1. Recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles.

2. Use the Triangle Bisector Theorem.

46 Lesson 5 Practice Review 12:48

46 Lesson 7.5 Knowledge Check 00:00

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2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

47 Lesson 6: Scale Drawings & Models 08:00

Lesson Objectives:

1. Interpret scale models.

2. Use scale factor to solve problems.

47 Lesson 6 Practice Review 09:34

47 Lesson 7.6 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

48 Section 7 Exam 00:00

1. Download and complete the Section 7 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 7 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 7 Answer Key from the Resources section and review any missed questions with the student.

Section 8: Right Triangles and Trigonometry

49 Lesson 1: Geometric Mean 16:49

Lesson Objectives:

1. Find the geometric mean between two numbers.

2. Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse.

49 Lesson 1 Practice Review 13:14

49 Lesson 8.1 Knowledge Check 00:00

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2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

50 Lesson 2: Pythagorean Theorem & Its Converse 12:15

Lesson Objectives:

1. Use the Pythagorean Theorem.

2. Use the Converse of the Pythagorean Theorem.

50 Lesson 2 Practice Review 10:34

50 Lesson 8.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

51 Lesson 3: Special Right Triangles 14:39

Lesson Objectives:

1. Use the properties of 46-45-90 triangles.

2. Use the properties of 30-60-90 triangles.

51 Lesson 3 Practice Review 16:19

51 Lesson 8.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

52 Lesson 4: Trigonometry 20:36

Lesson Objectives:

1. Find trigonometric ratios using right triangles.

2. Use trigonometric ratios to find angle measures in right triangles.

52 Lesson 4 Practice Review 13:55

52 Lesson 8.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

53 Lesson 5: Angles of Elevation and Depression 07:50

Lesson Objectives:

1. Solve problems involving angles of elevation and depression.

2. Use angles of elevation and depression to find the distance between two objects.

53 Lesson 5 Practice Review 09:37

53 Lesson 8.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

54 Lesson 6: Law of Sines and Cosines 20:13

Lesson Objectives:

1. Use the Law of Sines to solve triangles.

2. Use the Law of Cosines to solve triangles.

54 Lesson 6 Practice Review 16:35

54 Lesson 8.6 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

55 Section 8 Exam 00:00

1. Download and complete the Section 8 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 8 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 8 Answer Key from the Resources section and review any missed questions with the student.

Section 9: Transformations and Symmetry

56 Lesson 1: Reflections 12:38

Lesson Objectives:

1. Draw reflections.

2. Draw reflections in the coordinate plane.

56 Lesson 1 Practice Review 08:14

56 Lesson 9.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

57 Lesson 2: Translations 08:12

Lesson Objectives:

1. Draw translations.

2. Draw translations in the coordinate plane.

57 Lesson 2 Practice Review 05:13

57 Lesson 9.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

58 Lesson 3: Rotations 11:40

Lesson Objectives:

1. Draw Rotations

2. Draw rotations in the coordinate plane.

58 Lesson 3 Practice Review 05:52

58 Lesson 9.3 Lesson Check 00:00

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3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

59 Lesson 4: Compositions of Transformations 09:22

Lesson Objectives:

1. Draw glide reflections and other compositions of isometries in the coordinate plane.

2. Draw compositions of reflections in parallel and intersecting lines.

59 Lesson 4 Practice Review 03:38

59 Lesson 9.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

60 Lesson 5: Symmetry 14:29

Lesson Objectives:

1. Identify line and rotational symmetries in two-dimensional figures.

2. Identify plane and axis symmetries in three-dimensional figures.

60 Lesson 5 Practice Review 04:15

60 Lesson 9.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

61 Lesson 6: Dilations 12:07

Lesson Objectives:

1. Draw dilations.

2. Draw dilations in the coordinate plane.

61 Lesson 6 Practice Review 08:27

61 Lesson 9.6 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

62 Section 9 Exam 00:00

1. Download and complete the Section 9 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Parent(s)/Guardian(s) - download the Section 9 Answer Key from the Resources section and review any missed questions with the student.

 

NOTE: Due to the nature of the questions in this section, there is not a computer-scored exam. 

Section 10: Circles

63 Lesson 1: Circles and Circumference 09:35

Lesson Objectives:

1. Identify and use parts of circles.

2. Solve problems involving the circumference of a circle.

63 Lesson 1 Practice Review 10:57

63 Lesson 10.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

64 Lesson 2: Measuring Angles and Arcs 15:26

Lesson Objectives:

1. Identify central angles, major arcs, minor arcs, and semicircles, and find their measures.

2. Find arc lengths.

64 Lesson 2 Practice Review 14:05

64 Lesson 10.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

65 Lesson 3: Arcs & Chords 06:06

Lesson Objectives:

1. Recognize and use relationships between arcs and chords.

2. Recognize and use relationships between arcs, chords, and diameters.

65 Lesson 3 Practice Review 11:16

65 Lesson 10.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

66 Lesson 4: Inscribed Angles 10:26

Lesson Objectives:

1. Find measures of inscribed angles.

2. Find measures of angles of inscribed polygons.

66 Lesson 4 Practice Review 12:26

66 Lesson 10.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

67 Lesson 5: Tangents 11:24

Lesson Objectives:

1. Use properties of tangents.

2. Solve problems involving circumscribed polygons.

67 Lesson 5 Practice Review 13:35

67 Lesson 10.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

68 Lesson 6: Secants, Tangents & Angle Measures 12:12

Lesson Objectives:

1. Find measures of angles formed by lines intersecting on or inside a circle.

2. Find measures of angles formed by lines intersecting outside the circle.

68 Lesson 6 Practice Review 12:16

68 Lesson 10.6 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

69 Lesson 7: Special Segments in a Circle 11:56

Lesson Objectives:

1. Find measures of segments that intersect in the interior of a circle.

2. Find measures of segments that intersect in the exterior of a circle.

69 Lesson 7 Practice Review 21:20

69 Lesson 10.7 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

70 Lesson 8: Equations of Circles 08:07

Lesson Objectives:

1. Write the equation of a circle.

2. Graph a circle on the coordinate plane.

70 Lesson 8 Practice Review 18:51

70 Lesson 10.8 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

71 Section 10 Exam 00:00

1. Download and complete the Section 10 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 10 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 10 Answer Key from the Resources section and review any missed questions with the student.

Section 11: Areas of Polygons and Circles

72 Lesson 1: Areas of Parallelograms & Triangles 15:21

Lesson Objectives:

1. Find perimeters and areas of parallelograms.

2. Find perimeters and areas of triangles.

72 Lesson 1 Practice Review 25:14

72 Lesson 11.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

73 Lesson 2: Area of Trapezoids, Rhombi, Kites 12:10

Lesson Objectives:

1. Find areas of trapezoids.

2. Find areas of rhombi and kites.

73 Lesson 2 Practice Review 21:23

73 Lesson 11.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

74 Lesson 3: Areas of Circles & Sectors 07:27

Lesson Objectives:

1. Find areas of trapezoids.

2. Find areas of rhombi and kites.

74 Lesson 3 Practice Review 20:20

74 Lesson 11.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

75 Lesson 4: Areas of Regular Polygons and Composite Figures 20:55

Lesson Objectives:

1. Find areas of regular polygons.

2. Find areas of composite figures.

75 Lesson 4 Practice Review 23:01

75 Lesson 11.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

76 Lesson 5: Areas of Similar Figures 10:58

Lesson Objectives:

1. Find areas of similar figures using scale factors.

2. Find scale factors or missing measures given the areas of similar figures.

76 Lesson 5 Practice Review 12:24

76 Lesson 11.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

77 Section 11 Exam 00:00

1. Download and complete the Section 11 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 11 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 11 Answer Key from the Resources section and review any missed questions with the student.

Section 12: Surface Area and Volume of Polyhedrons

78 Lesson 1: Surface Area of Prisms & Cylinders 14:20

Lesson Objectives:

1. Find lateral areas and surface areas of prisms.

2. Find lateral areas and surface areas of cylinders.

78 Lesson 1 Practice Review 10:28

78 Lesson 12.1 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

79 Lesson 3: Volume of Prisms & Cylinders 05:53

Lesson Objectives:

1. Find volumes of prisms.

2. Find volumes of cylinders.

79 Lesson 2 Practice Review 10:26

79 Lesson 12.2 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

80 Lesson 2: Surface Area of Pyramids & Cones 11:33

Lesson Objectives:

1. Find lateral areas and surface areas of pyramids.

2. Find lateral areas and surface areas of cones.

80 Lesson 3 Practice Review 11:08

80 Lesson 12.3 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

81 Lesson 4: Volume of Pyramids & Cones 05:49

Lesson Objectives:

1. Find volumes of pyramids.

2. Find volumes of cones.

81 Lesson 4 Practice Review 12:47

81 Lesson 12.4 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

82 Lesson 5: Surface Area & Volume of Spheres 08:52

Lesson Objectives:

1. Find surface areas of spheres.

2. Find volumes of spheres.

82 Lesson 5 Practice Review 12:32

82 Lesson 12.5 Knowledge Check 00:00

1. Download and complete the Knowledge Check questions for this lesson.

2. Have your parent or guardian check your answers against the Answer Key provided in the Resources section.

3. Finally, go to the TEST icon for this lesson and indicate that you have completed all work to move to the next lesson.

83 Section 12 Exam 00:00

1. Download and complete the Section 12 Exam document. Make sure you pay attention to the directions for each question (i.e. rounding, etc.)

2. Open the Section 12 Exam and enter your answers. Your exam will be automatically scored.

3. Parent(s)/Guardian(s) - download the Section 12 Answer Key from the Resources section and review any missed questions with the student.

Course Description

The Geometry course includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence, trigonometry, and analytic geometry. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument.

Course Includes

  • 25+ hours of engaging instructional video
  • 71 video lessons
  • 71 practice worksheets
  • 71 worksheet review videos where I go over each of the exercises
  • 71 Knowledge Check quizzes
  • 12 online section exams
  • Solution guides to all Section Exams
  • Solution guides to all Knowledge Check quizzes
  • Solution guides for all practice worksheet

 

Course Goals

Upon successful completion of this class, students will be able to:

  • Use and prove basic theorems involving congruence and similarity of figures
  • Determine how changes in dimensions affect perimeter and area of common geometric figures
  • Apply and use the properties of proportion
  • Prove the Pythagorean theorem
  • Use the Pythagorean theorem to determine distance and find missing dimensions of right triangles
  • Know and use formulas for perimeter, circumference, area, volume, lateral and surface area of common figures
  • Find and use measures of sides, interior and exterior angles of polygons to solve problems
  • Use relationships between angles in polygons, complementary, supplementary, vertical and exterior angle properties
  • Use special angle and side relationships in special right triangles
  • Understand, apply, and solve problems using basic trigonometric functions
  • Prove and use relationships in circles to solve problems
  • Prove and use theorems involving properties of parallel lines cut by a transversal, quadrilaterals and circles
  • Write geometric proofs
  • Construct and judge validity of logical arguments
  • Prove theorems using coordinate geometry including the midpoint of a segment and distance formula
  • Understand transformations in the coordinate plane
  • Construct logical verifications to test conjectures and counterexamples
  • Write basic mathematical arguments statement-reason form

 

Course Requirements

Students taking this course are expected to have mastered the most important topics taught in an Algebra 1 course. Important topics to master are:

  • Application of the Order of Operations
  • Solving Linear Equations
  • Solving Quadratic Equations
  • Factoring Quadratic Polynomials
  • Plotting points and graphs in the Cartesian Plane

 

Target Audience

This video course is primarily intended for students who have already mastered Algebra 1 concepts. This course can be taken before or after Algebra 2. Students generally take this course in their sophomore year of high school but could take it as early as 8th grade.

Technology

Students will need a calculator capable of performing the basic operations, as well as square roots and trigonometric functions. A scientific calculator will be sufficient for this course.

 

  • Teacher: Thomas
  • Areas of expertise: Mathematics, Grades 6 - 12
  • Education: MEd, University of South Florida, 2014; MAT, University of Tampa, 2009; BS in Computer Science, Bloomsburg University, 2004
  • Interests: Volunteering, Cats, RPG Video Games, Softball
  • Skills: Real-world math applications
  • Associations: State licensed teacher
  • Issues I care about: Education

Lesson Knowledge Check Answer Keys

The answer keys for all the Knowledge Check Questions.

Section Exam Answer Keys

The answer keys for all the Section Exams.
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