Question

in triangle pqr pm is the bisector of angle p and pq=pr .prove that triangle pm and triangle pre are congruent

Answer 1

Answer:

ΔPMQ ≅ ΔPMR

Step-by-step explanation:

Given:

PQ = PR

∠QPM = ∠RPM

To Prove:

ΔPMQ ≅ ΔPMR

Proof:

In ΔPMQ and ΔPMR,

    Statement               Reason

1.   PQ = PR                   Given

2.   ∠QPM = ∠RPM       PM bisects the ∠QPR

3.   PM = PM                  Common

ΔPMQ ≅ ΔPMR   SAS Congruence Rule

Hence Proved