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Chapter 12: Q2. (page 694)

A transversal intersects lines mand n. If the corresponding angles are congruent, what can you conclude about lines m and n?

Short Answer

Expert verified

The lines mandn are parallel to each other.

Step by step solution

01

Step 1. Given Information.

Two lines m and n are given and a transversal intersecting the linesm and n is given. The corresponding angles are given to be congruent.

02

Step 2. Explanation.

The corresponding angles formed after the transversal intersected the two lines mandn are given to be congruent. Congruent angles have equal measures.

So, the corresponding angles are equal.

Therefore, the two lines mandn are parallel to each other.

03

Step 3. Conclusion.

The lines mandn are parallel to each other.

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