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:

$A(4,2),B(-2,2)$ and $D(4,-2)$.

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

Answer 1

Answer: (B)

$(-2,-2)$

The given coordinates of the vertices of rectangle $ABCD$ are $A(4,2),B(-2,2),D(4,-2)$.

We have to plot $C$ on the graph.

Since $ABCD$ is a rectangle, the abscissa of $C$ will be that of $B$ and the ordinate of $D$ will be that of $C$.

Therefore, the coordinate of $C$ will be $(-2,-2)$.

Hence, option $B$ is correct.