Question
Points $A(5, 3), B(-2, 3)$ and $D(5, -4)$ are three vertices of a square $ABCD.$ Plot these points on a graph paper and hence find the coordinates of the vertex $C.$
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Answer
The graph obtained by plotting the points $A, B$ and $C$ and $D$ is given below. Take a point $C$ on the graph such that $ABCD$ is a square i.e., all sides $AB, BC, CD,$ and $AD$ are equal. So, abscissa of $C$ should be equal to abscissa of $B$ i.e., $-2$ and ordinate of $C$ should be equal to ordinate of $D$ i.e., $-4.$ Hence, the coordinates of $C$ are $(-2, -4).$
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