Answer
(A)Detailed explanation: The Postulate asserts that the sides of similar triangles maintain a proportional relationship. It’s important to note that similar triangles are those that have congruent angles, and their corresponding sides are proportional. In triangles ŒîSTP and ŒîRPQ, the correspondence of the sides is as follows: (RP, TP); (RQ, TS); (PQ, PS). Therefore, we have RP:TP = PQ:PS, which translates to 51:85 and 3x:(3x + 24). We can state this as PQ : PS = RP : TP, leading to (3x + 24):3x = 85:51. Thus, statement 5 corresponds to equation (A).
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