Question

The co-ordinates of the three vertices of a rectangle $ABCD$ are given. By plotting the given points, find the co-ordinates of the fourth vertex:

$A(2,0),B(8,0)$ and $C(8,4)$.

• A. $(4,2)$
• B. $(8,0)$
• C. $(8,8)$
• D. $(2,4)$

Answer 1

The correct option is D $(2,4)$

The given co-ordinates of the vertices of the rectangle $ABCD$ are $A(2,0),B(8,0),C(8,4)$.

We need to plot $D$ on the graph.

Since, $ABCD$ is rectangle,

$\therefore$ The abscissa of $D$ will be same as that of $A$ and ordinate of $D$ will be same as that of $C$.

$\therefore$ Co-ordinates of $D$ are $(2,4)$.

Thus, $D=(2,4)$.

Hence, option $D$ is correct.