Question

In triangle PQR, PE is the perpendicular bisector of angle QPR then prove that PQ=PR

Answer 1

in triangles PEQ and PER
PE = PE (common)
angle PEQ = PER (each 90 degree)
QE=RE (PE is the perpendicular bisector of angle QPR)
By ASA congruency

triangle PEQ and PER are congruent

By CPCT (congruent parts of congruent triangles)
PQ=PR

Answer 2

Answer:

in this pe is common so angle Pqe and per are equal and qe and we are equal because of 90°