Triangle ABC and triangle DEF are similar triangles, where and are corresponding sides. If and the perimeter of triangle ABC

Question

Triangle ABC and triangle DEF are similar triangles, where and are corresponding sides. If and the perimeter of triangle ABC is 20, what is the perimeter of triangle DEF ?

Accepted Answer

Choice B is correct. Since triangles ABC and DEF are similar and , the length of each side of triangle DEF is two times the length of its corresponding side in triangle ABC . Therefore, the perimeter of triangle DEF is two times the perimeter of triangle ABC . Since the perimeter of triangle ABC is 20, the perimeter of triangle DEF is 40. Choice A is incorrect. This is half, not two times, the perimeter of triangle ABC . Choice C is incorrect. This is two times the perimeter of triangle DEF rather than two times the perimeter of triangle ABC . Choice D is incorrect. This is six times, not two times, the perimeter of triangle ABC .

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