Triangles RQS and NTV have the following characteristics:• Right angles at ∠Q and ∠T • RQ ≅ NTCan it be concluded that ΔRQS ≅ ΔNTV by SAS? Why or why not?

SAS requires two pairs of corresponding sides and the angle included between those sides to be congruent. The right angles ∠Q and ∠T are congruent, and RQ ≅ NT gives one pair of corresponding sides, but no second pair of sides is given. Therefore, another pair of corresponding sides must be known before SAS can establish congruence; the correct choice is C.

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