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:

$A(-4,-6),C(6,0)$ and $D(-4,0)$.

• A. $(-6,-6)$
• B. $(6,6)$
• C. $(6,-6)$
• D. $(-6,6)$

Answer 1

The correct option is C $(6,-6)$

The given co-ordinates of the vertices of the rectangle $ABCD$ are $A(-4,-6),C(6,0),D(-4,0)$.

We need to plot $B$ on the graph.

Since, $ABCD$ is rectangle,

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

$\therefore$ Co-ordinates of $B$ are $(6,-6)$.

Hence, option $C$ is correct.