Question

In the given figure abcd is a trapezium,P is the midpoint of side AD and PR||AB||DC.

i) Prove that R is the midpoint of side BC​

Answer 1

Answer:

In ∆DBA,

P is the mid-point. (given)

PQ||AB. (Given)

=>Q is the mid-point. (Mid point theorem)

Again, in ∆BCD

Q is the mid-point. (Proved above)

RQ ||CD. (Given

=>R is the the mid-point. (Mid point theorem)

(proved)