Question

Points $A(5,3),B(-2,3)$ and $D(5,-4)$ are three vertices of a square $ABCD$. Plot these points on the graph paper and hence find the coordinates of the vertex $C$.

Answer 1

Take a point $C$ on the graph such that $ABCD$ is a square i.e., all sides $AB,BC,CDandAD$ are equal.

So, abscissa of $C$ should be equal to abscissa of $B$ that is, $-2$ and ordinate of $C$ should be equal to ordinate of $D$ that is, $-4$. Hence, the coordinates of $C$ are $(-2,–4)$.

The graph obtained by plotting the points $A,B,C,D$ is given below.