Answer :

Final answer:

To prove that triangle PQR is congruent to triangle PSR using SAS, you need to show that sides PQ and PS, sides QR and SR, and their included angles (angle QPR and SPR) are congruent.

Explanation:

To prove triangle PQR is congruent to triangle PSR by Side-Angle-Side (SAS), you'll need to show that two sides and the included angle of triangle PQR are congruent to two sides and the included angle of triangle PSR. Specifically, you would need to show that PQ is congruent to PS (one side), QR is congruent to SR (another side), and that angle QPR is congruent to angle SPR (the included angle).

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. An included angle is the angle formed by the two sides of the triangle.

Remember, congruent means the same in size and shape. So, for the triangles to be congruent using the SAS postulate, not only should the sides and the angle match in measurement, but the sequence of the sides and the angle also should match. In other words, the angle should be between the two sides.

Learn more about Triangle Congruence here:

https://brainly.com/question/20521780

#SPJ11

Thanks for taking the time to read Which parts must be congruent to prove tex triangle PQR triangle PSR tex by SAS Side Angle Side. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada