Geometry 3-3 Proving Lines Parallel

by Matthew Richardson

| 18 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

2

3

4

5

1

2 pts

Solve It! The maze has two intersecting sets of parallel paths. Follow the mouse's path through the maze. What is the measure of ∠1?

Enter only a number.

60

120

2

2 pts

What is the measure of ∠2?

Enter only a number.

3

2 pts

What is the measure of ∠3?

Enter only a number.

4

2 pts

What is the measure of ∠4?

Enter only a number.

5

2 pts

What is the measure of ∠5?

Enter only a number.

6

6

10 pts

Problem 1 Got It?

A

B

7

7

10 pts

Problem 2 Got It? Use the same diagram from Problem 2 to prove Theorem 3-6. Use the canvas tools to construct your flow proof.

8

8

10 pts

Problem 3 Got It? In Problem 3, what is another way to explain why r ∥s? Justify your answer.

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

10 pts

Theorems: Explain how you know when to use the Alternate Interior Angles Theorem and when to use the Converse of the Alternate Interior Angles Theorem.

14

10 pts

Compare and Contrast: How are flow proofs and two-column proofs alike? How are they different?

15

15

10 pts

Error Analysis: A classmate states that line AB is parallel to line DC based on the diagram here. Explain your classmate's error.

16

40 pts

Review Lessons 1-6 and 3-1: Determine whether each statement is always, sometimes, or never true. Categorize themaccordingly.

- Perpendicular lines meet at right angles.
- Two lines in intersecting planes are perpendicular.
- Two lines in the same plane are parallel.
- Two lines in parallel planes are perpendicular.

- Always
- Sometimes
- Never

17

30 pts

Theorems 3-5, 3-6, and 3-7: Complete the items on the canvas.

18

10 pts

Reflect: Math Success

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