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:

$B(10,4),C(0,4)$ and $D(0,-2)$

• A. $(-10,2)$
• B. $(-10,-2)$
• C. $(10,2)$
• D. $(10,-2)$

Answer 1

The correct option is D $(10,-2)$

The given co-ordinates of the vertices of the rectangle $ABCD$ are $B(10,4),C(0,4),D(0,-2)$.

We need to plot $A$ on the graph.

Since, $ABCD$ is rectangle,

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

$\therefore$ Co-ordinates of $A$ are $(10,-2)$.

Hence, option $D$ is correct.