Question

in the triangles below, ∠p≅∠s, ∠r≅∠u, and pr≅su. the following transformations are used to map △pqr to △stu: a translation, followed by a rotation. which criterion for triangle congruence is proved through these transformations? a asa b aaa c sas d sss

Explanation:

Step1: Recall congruence criteria

ASA (Angle - Side - Angle) requires two pairs of congruent angles and the included side congruent. AAA (Angle - Angle - Angle) only shows similarity, not congruence. SAS (Side - Angle - Side) requires two pairs of congruent sides and the included angle congruent. SSS (Side - Side - Side) requires all three pairs of sides congruent.

Step2: Analyze given information

We are given $\angle P\cong\angle S$, $\angle R\cong\angle U$, and $\overline{PR}\cong\overline{SU}$. Here we have two pairs of congruent angles and the included side between them is congruent.

Answer:

A. ASA