Question

In a quadrilateral PQRS, PQ = PS and PR is the bisector of ∠P. Show that ∆PQR ≌ ∆PSR. Is QR = SR?​

Answer 1

Answer:

yes QR=SR( CPCT=Corresponding part of congruent triangle)

Step-by-step explanation:

In ∆PQR and ∆PSR

PQ=PS( given)

PR is common

angle SPR= angle QPR( PR bisects angle P)

thus ∆PQR is congruent to ∆ PSR(SAS)

and PQ=PS(cpct