Question

ABCD is a quadrilateral in which P, Q, R, and S are mid-points of the sides AB, BC, CD, and DA. AC is a diagonal. Show that: PQ=SR

Answer 1

In $\Delta$ABC, P and Q are mid-points of AB and BC.
As per mid-point theorem,
PQ || AC
and $PQ=\frac{1}{2}AC$
Similarly, $SR=\frac{1}{2}AC$
∴ PQ = SR (Proved)