Four points and have the following coordinates: ,

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Four points

A,B,C

and

D

have the following coordinates:

A(3,4)

B(-2,4)

C(-2,-1)

and

D(3,-1)

. (i) Plot the points on a single Cartesian plane and join them in the order

A \to B \to C \to D \to A

. (ii) Prove that the figure

ABCD

you have obtained is a rectangle. (iii) Calculate the area and the perimeter of the rectangle. (iv) Find the length of the diagonal

AC

. (v) State the quadrant in which each vertex lies.