Question

In triangle ABC, P, Q and R are mid point of sides BC, CA and AB respectively. Show that RPCQ is a parallelogram

Answer 1

Answer:

Step-by-step explanation:

in triangle ABC , P,Q,R are mid points.

so, BP = PC , CQ = QA and AR=RB

RQ = 1/2 BC and RQ is parallel BC   ( Converse mid point theorem)

In quadrilateral RPCQ,

    RQ ll PC and RQ = PC

there fore we can say that as opposite sides are equal and parallel it is a parallelogram