Question

Use the image for part a, b, and c. Show work.

Answer 1

A. no

B. see below

C. KL = 14

Explanation:

A. AA similarity requires two angles in one triangle be congruent with two angles in the other. Here, only one angle is marked in each triangle, so AA similarity cannot apply.

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B. See the explanation given in Part A.

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C. The triangles are similar because corresponding sides are proportional (and the angle between them is congruent). The sides that correspond are the ones on either side of the marked angle. The sides in the larger triangle JKL are double the measure of the sides in the smaller triangle GHI. Hence, for HI = 7, KL = 2·7 = 14.