Question

Given: PQ ~PS
PR bisects Angle QPS

Prove: Triangle PQR ~ Triangle PRS

Answer 1

1. PQ =PS 1. Given
PR bisects <QPS
2. PR = PR 2.

3. QR = RS

4. PQR ~ PRS

Answer 2

to bisect an angle splits angle in half thus RPQ = RPS
PR is perpendicular to QS thus both are right triangles
both share side PR
use Angle Side Angle to show they are congruent

Answer 3

@shelby1290