Geometry 3-3 Proving Lines Parallel
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by Matthew Richardson
| 18 Questions
Note 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.
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1
2
3
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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.
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6
6
10 pts
Problem 1 Got It?
A
B
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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.
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8
8
10 pts
Problem 3 Got It? In Problem 3, what is another way to explain why r s? Justify your answer.
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9
9
10 pts
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C
D
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10
10
10 pts
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B
C
D
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11
11
10 pts
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B
C
D
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12
12
10 pts
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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?
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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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