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Lines, angles, and triangles SAT question
Math · Geometry and Trigonometry · Medium · Answer it here, explanation included.
Triangle is similar to triangle , such that , , and correspond to , , and respectively. The length of each side of triangle is times the length of its corresponding side in triangle . The measure of side is . What is the measure of side ?
ExplanationShow
Choice D is correct. It's given that triangle is similar to triangle , such that , , and correspond to , , and , respectively. Therefore, side corresponds to side . Since the length of each side of triangle is times the length of its corresponding side in triangle , it follows that the measure of side is times the measure of side . Thus, since the measure of side is , then the measure of side is , or .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect. This is the measure of side , not side .
Choice C is incorrect and may result from conceptual or calculation errors.
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