Question

P , Q , R and S are respectiverespectively the mid points of sides AB , BC , CD , and DA of quadrilateral ABCD in which AC=BD and AC is perpendicular to BD , prove that PQRS is a square

Answer 1

Answer:

Step-by-step explanation:

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,

        here is a diagram.