The coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points, what are the coordinates of the fourth vertex: A(4,2),B(-2,2)and D(4,-2)?

# The coordinates of the three vertices of a rectangle $\mathit{ABCD}$ are given. By plotting the given points, what are the coordinates of the fourth vertex: $A\left(4,2\right),B\left(-2,2\right)$and $D\left(4,-2\right)$?

1. A
$\left(2,-2\right)$
2. B
$\left(-2,-2\right)$
3. C
$\left(2,2\right)$
4. D
$\left(-2,2\right)$

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### Solution:

The given coordinates of the vertices of rectangle $\mathit{ABCD}$ are $A\left(4,2\right),B\left(-2,2\right),D\left(4,-2\right)$.
We have to plot $C$ on the graph.
Since $\mathit{ABCD}$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 $\left(-2,-2\right)$.
Hence, option is correct.

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