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Triangle Similarity Criteria
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ACCUPLACER
AAF.169 Triangle Similarity Criteria
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A student must not pair the longest side with the middle side. Triangle GHI has side lengths GH = 7, HI = 11, GI = 13. Triangle PQR has side lengths PQ = 21, QR = 33, PR = 39. Which correspondence and proportion are valid?
A
AA similarity; triangle GHI ~ triangle PQR; the side lengths do not matter.
B
SSS similarity; triangle GHI ~ triangle QPR; GH/QR = HI/PQ.
C
SAS similarity; triangle GHI ~ triangle PQR; GH/PQ = GI/PR.
D
SSS similarity; triangle GHI ~ triangle PQR; GH/PQ = HI/QR = GI/PR.
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