Math

QuestionIn PQRSTR\triangle PQR \cong \triangle STR, find PRQ\angle PRQ \cong A. RST\angle RST B. STR\angle STR C. SRT\angle SRT D. T\angle T

Studdy Solution

STEP 1

Assumptions1. TriangleQR is congruent to Triangle STR. This means all corresponding sides and angles of the two triangles are equal.

STEP 2

We are asked to find the angle in Triangle STR that is congruent to PRQ\angle PRQ in TriangleQR.

STEP 3

In congruent triangles, corresponding parts are equal. Therefore, the angle in Triangle STR that corresponds to PRQ\angle PRQ in TriangleQR is the one that occupies the same relative position.

STEP 4

PRQ\angle PRQ is the angle formed by the sides PQ and QR in TriangleQR.

STEP 5

In Triangle STR, the angle that is formed by the sides and TR, which are the corresponding sides to PQ and QR, is \angleRT.

STEP 6

Therefore, \angle PRQ \cong \angleRT.
So, the correct answer is C. \angleRT.

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