1.4 Complete Lesson: Proving Lines Parallel
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Last updated almost 6 years ago
23 Nsɛmmisa
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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.
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: 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?
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.
Error Analysis: A classmate states that line AB is parallel to line DC based on the diagram here. Explain your classmate's error.
Review Lesson 1.3: Use the diagram below to find
Review Lesson 1.3: Use the diagram below to find
Use Your Vocabulary: Complete each sentence on the right with interior or exterior from the left.
Refer to the diagram for some items.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.
exterior
interior
In the diagram, angles 1 and 7 are alternate __?__ angles.
In the diagram, angles 4 and 5 are same-side __?__ angles.
To paint the outside of your house, buy __?__ paint.
The protective cover prevents the __?__ of the book from being damaged.
Reflect: Math Success
What is the measure of ∠2?
Enter only a number.
What is the measure of ∠3?
Enter only a number.
What is the measure of ∠4?
Enter only a number.
What is the measure of ∠5?
Enter only a number.
Take Note: Summarize Theorem 3-7: The Converse of the Alternate Exterior Angles Theorem. You may use the canvas to help illustrate your description.