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The two scalene triangles shown are similar but not congruent. ∠RQS ≅ ∠QSP. Which statement is true?

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The two scalene triangles shown are similar but not congruent. ∠RQS ≅ ∠QSP. Which statement is true?
∠SPQ corresponds to ∠SRQ.
∠RSQ corresponds to ∠QPS.
Side SP corresponds to side RS.
Side PS corresponds to side QR.




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    1. Quizzma Team

      The correct statement is: ∠RSQ corresponds to ∠QPS.

      Explanation: Since the two scalene triangles are similar, their corresponding angles are equal. The statement mentions that ∠RQS ≅ ∠QSP, allowing us to establish a correspondence between other angles. Therefore, ∠RSQ, which is the angle at point R in the first triangle, corresponds to ∠QPS, the angle at point Q in the second triangle. The other options do not hold true based on the properties of similar triangles.

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