Question

The points (0, 0), (0, 3), (4, 3) and (4, 0) are plotted in graph sheet. The figured formed by joining the points with straight lines is 

A) triangle 

B) circle 

C) square 

D) rectangle

Answer 1

Correct option is (D) rectangle

Let points are A(0, 0), B(0, 3), C(4, 3) and D(4, 0).

AB = \(\sqrt{(0-0)^2+(3-0)^2}\) = 3 units,

BC = \(\sqrt{(4-0)^2+(3-3)^2}\) = 4 units,

CD = \(\sqrt{(4-4)^2+(0-3)^2}\) = 3 units,

DA = \(\sqrt{(0-4)^2+(0-0)^2}\) = 4 units,

AC = \(\sqrt{(4-0)^2+(3-0)^2}\) = \(\sqrt{16+9}\) = 5 units and

BD = \(\sqrt{(4-0)^2+(0-3)^2}\) = \(\sqrt{16+9}\) = 5 units.

\(\because\) AB = CD, BC = DA and AC = BD

Therefore, ABCD is a rectangle.

Answer 2

Correct option is  D) rectangle