Question

On plotting the points $O$ $(0,0)$, $A$ $(3,0)$, $B$ $(3,4)$, $C$ $(0,4)$ and joining $OA,AB,BC$ and $CO$ which of the following figure is obtained?

• A. Square
• B. Rectangle
• C. Trapezium
• D. Rhombus

Answer 1

The correct option is B Rectangle

Given, the points $O(0,0),A(3,0),B(3,4)$ and $C(0,4)$.

On plotting these points as shown, we get,

a figure in rectangular shape as:

$\left(i\right)$ $OA$ and $BC$ are of same length and parallel.

$\left(ii\right)$ $AB$ and $CO$ are of same length and parallel.

$\left(iii\right)$ All sides are perpendicular.

Since, the opposite sides of the figure obtained are equal and parallel, and all the sides are perpendicular, the figure is rectangle.

Therefore, option $B$ is correct.