Given 6ABC~6DEF, AB = 12, DE = 4, BC = 24, what does EF equal?
A)8
B)2
C)9
D)72

Name: Given 6ABC~6DEF, AB = 12, DE = 4, BC = 24, what does EF equal? A)8 B)2 C)9 D)72
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Quizplus · Accepted Answer

Since triangles ABC and DEF are similar, their corresponding sides are proportional. The ratio of AB to DE is 12 to 4, or 3 to 1. Since BC is 24, to maintain the proportion, EF must be 24 divided by 3, which equals 8.