Question

In quadrilateral PQRS, PQ = PS and PR bisects angleP.
Show that trianglePRQ congruent to triangle PRS.
What can you say about QR and SR?

Answer 1

Answer:

solving by side angle side criteria

Explanation:

pq=ps

angle rps = qpr

side pr is common in both

so by S.A.S criteria both triangles are congruent

and since both are congruent qr=sr

Answer 2

Answer:

PQ=PS------------------- 1

angle Q =angle S from eq 1

if PQ=PS then QR = SR

QR =SR-------------------2

From eq1 and eq 2

PRS =(congruent )to PRS

hope it is helpful ✌✌