Question

Given PR bisects QRS and PSR is congrunt to PQR

Prove triangle PSR is congruent to triangle PQR

Answer 1

To prove that triangle PSR is congruent to triangle PQR, we can use the given information that PR bisects QRS and PSR is congruent to PQR. First, we know that PR bisects angle QRS, which means it divides angle QRS into two equal angles. Since PSR is congruent to PQR, the corresponding sides will also be congruent. By the side-side-side (SSS) congruence criteria, we can conclude that triangle PSR is congruent to triangle PQR.

Step-by-step explanation:

To prove that triangle PSR is congruent to triangle PQR, we can use the given information that PR bisects QRS and PSR is congruent to PQR.

First, we know that PR bisects angle QRS, which means it divides angle QRS into two equal angles. Let's call these angles 1 and 2.

Since PSR is congruent to PQR, the corresponding sides will also be congruent. This means that PS and PQ are congruent, and SR and QR are congruent.

By the side-side-side (SSS) congruence criteria, we can conclude that triangle PSR is congruent to triangle PQR.