Question

Show that the following points are the vertices of a rectangle :
A (2, – 2), B (14, 10), C (11, 13) and D (–1, 1).

Answer 1

Given vertices are A(2, –2), B(14, 10), C(11, 13), D(–1, 1)

Clearly, AB = CD, BC = DA and AC = BD i.e., opposite sides and diagonals are equal.
Hence, vertices will form a rectangle