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QUESTION IMAGE

are these shapes congruent? yes no

Question

are these shapes congruent? yes no

Explanation:

Step1: Recall the definition of congruent shapes

Congruent shapes have the same size and shape, which means all corresponding sides and angles are equal.

Step2: Compare the side lengths

In the first shape (trapezoid \(CDEF\)), the side lengths are \(CF = 15\) mi, \(FE=9\) mi, \(ED = 15\) mi, \(DC = 24\) mi. In the second shape (pentagon \(IJKL\)), the side lengths are \(IL = 16\) mi, \(LK = 10\) mi, \(KJ=16\) mi, \(JI = 27\) mi. The side - length sets \(\{9,15,15,24\}\) and \(\{10,16,16,27\}\) are not the same.

Answer:

no