Question

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8. Explain how you can show that KL congruent to HJ.

Answer 1

Explanation:

First you show that the triangles are congruent.

Then you show that the segments are congruent by CPCTC (Corresponding parts of congruent triangles are congruent.)

Given:

Segment KM is congruent to segment JM

<L is congruent to <H

We now have 1 pair of sides and 1 pair of angles that are congruent.

Angles KML and JMH are vertical angles, so they are congruent.

Now we have 2 pairs of congruent angles and 1 pair of not included congruent sides.

By AAS, triangle KML is congruent to triangle JMH.

By CPCTC, segment KL is congruent to segment HJ.