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McGraw Hill Integrated II, 2012 View details

6. Proving Lines Parallel

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Exercise 1 Page 318

What is the relationship between ∠ 1 and ∠ 3?

Parallel Lines: j∥ k
Theorem(s)/Postulate(s): Converse of the Corresponding Angles Postulate

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Let's begin by highlighting ∠ 1 and ∠ 3 in the given diagram.

We can see that ∠ 1 and ∠ 3 are corresponding angles of lines j and k. Also, we are told that they are congruent. Therefore, by the Converse of the Corresponding Angles Postulate, we can conclude that j∥ k.