`P` is a point on the bisector of an angle `/_A B Cdot` If the line through `P` parallel to `A B` meets `B C` at `Q` , prove that triangle `B P Q` is isosceles.

P is a point on the bisector of an angle /_ABC. If the line through P parallel to AB meets BC at Q, prove that triangle BPQ is isosceles.

P is a point on the bisector of an angle angleABC . If the line through P parallel to AB meets BC at Q. prove that triangle BPQ is isosceles.

P is a point on the bisector of angle ABC .If the line through P,parallel to BA meet at Q ,prove that BPO is an isosceles triangle.

P is a point on the bisector of angle ABC .If the line through P , parallel to BA meet at Q ,prove that Delta BPQ is an isosceles triangle.

In triangle ABC, the bisectors of angle B and angle C intersect at I. A line drawn through I and parallel to BC intersects AB at P and AC at Q. Prove that PQ = BP + CQ.

In triangle ABC, the bisectors of angle B and angle C intersect at I. A line drawn through I and parallel to BC intersects AB at P and AC at Q. Prove that PQ = BP + CQ.

P is the mid-point of side A B of a parallelogram A B C D . A line through B parallel to P D meets D C at Q\ a n d\ A D produced at Rdot Prove that: A R=2B C (ii) B R=2\ B Q

P is the mid-point of side A B of a parallelogram A B C D . A line through B parallel to P D meets D C at Q\ a n d\ A D produced at R . Prove that: (i) A R=2B C (ii) B R=2\ B Q

P is the mid-point of side A B of a parallelogram A B C D . A Line through B parallel to P D meets D C at Q and A D produced at R . Prove that (i) A R=2B C (ii) B R=2B Qdot