Question

Given: PRbisects ZQPS, PQ = 12units, and PS= 12units

Prove: QR SR
4
P
How could you show QR SR?

Answer 1

Use SAS to show that triangles PRQ and PRS are congruent.

Explanation:

Since PR bisects angle QPS, angles QPR and SPR are congruent. By reflexive property of congruence, PR is congruent to itself. Since PQ is congruent to PS, we can use SAS to show that the two triangles are congruent. By CPCTC, QR is congruent to SR.