# In a figure ,P and Q are two points on equal sides AB and AC an isosceles triangle ABC such that AP = AQ,rove that BQ = CF

1
by ravishashoo

by ravishashoo

BP=CQ

Angle B = Angle C

BC=BC

Triangle BPC is congruent to Triangle CQB by SAS test Therefore, BQ=CP (By cpct)

BF=CE

Angle B = Angle C

BC=BC

Triangle BFC is congruent to Triangle ECB by SAS test Therefore, BE=CF (By cpct)