Question

Prove that the diagonals of a rectangle ABCD,with vertices A (2,-1),B (5,-1),C (5,6),D (2,6),are equal and bisect each ohter

Answer 1

Find the distance of AC and BD. You'll find both are same. Therefore, diagonals are equal.
Find the midpoint of AC and BD.
You'll find both are same. Therefore, diagonals bisect each other.