ABCD is a rectangle formed by the points A-1,-1, B-1, 4, C5, 4 and D5, -1. If P, Q, R and S be the mid points ofAB, BC, CD and DA respectively, show that PQRS is a rhombus.

ABCD is a rectangle formed by the points A-1,-1, B-1, 4, C5, 4 and D5,

1.	ABCD is a rectangle formed by the points A-1,-1, B-1, 4, C5, 4 and D5, -1. If P, Q, R and S be the mid points ofAB, BC, CD and DA respectively, show that PQRS is a rhombus.
Answer» ABCD is a rectangle formed by the points $A (- 1, - 1), B (- 1, 4), C (5, 4) and D (5, - 1)$ . If P, Q, R and S be the mid points of AB, BC, CD and DA respectively, show that PQRS is a rhombus.