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3. use the graph shown. a. are abcde and jklmn congruent? if so, descri…

Question

  1. use the graph shown.

a. are abcde and jklmn congruent? if so, describe a composition of rigid motions that maps abcde to jklmn. if not, explain.

Explanation:

Step1: Check side - lengths and angles visually

By observing the graph, we can see that the corresponding side - lengths and angles of ABCDE and JKLMN are equal. So, they are congruent.

Step2: Determine the rigid motions

First, translate ABCDE 8 units to the left. Then, reflect the translated figure over the x - axis.

Answer:

Yes, ABCDE and JKLMN are congruent. A translation 8 units to the left followed by a reflection over the x - axis maps ABCDE to JKLMN.