Geometry 3-3 Guided Practice: Proving Lines Parallel

By Matt Richardson
Last updated about 3 years ago
15 Questions

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.

What is the measure of ∠2?
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What is the measure of ∠3?
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What is the measure of ∠4?
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What is the measure of ∠5?
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Take Note: Summarize Theorem 3-4: The Converse of the Corresponding Angles Theorem. You may use the canvas to help illustrate your description.

Problem 1 Got It?

Take Note: Summarize Theorem 3-5: The Converse of the Alternate Interior Angles Theorem. You may use the canvas to help illustrate your description.

Take Note: Summarize Theorem 3-6: The Converse of the Same-Side Interior Angles Postulate. You may use the canvas to help illustrate your description.

Take Note: Summarize Theorem 3-7: The Converse of the Alternate Exterior Angles Theorem. You may use the canvas to help illustrate your description.

Take Note: Describe flow proofs. How are they similar to two-column and paragraph proofs? How are they different?

Problem 2 Got It? Use the same diagram from Problem 2 to prove Theorem 3-6.



Construct your flow proof using the tools on the canvas.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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

Problem 4 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?