Question

If P, Q, R and S are respectively the mid-points of the sides of a parallelogram ABCD, show that area of quadrilateral PQRS
=½area of parallelogram
ABCD​

Answer 1

Answer:

Given In quadrilateral ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA, respectively.

Also, AC = BD and AC ⊥ BD.

To prove PQRS is a square.

Proof Now, in ΔADC, S and R are the mid-points of the sides AD and DC respectively, then by mid-point theorem,

Step-by-step explanation:

hope it helps you

Answer 2

Please find the attachment