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  • 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.

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: (-2, -4)

Solution.
Points A (5, 3), B (- 2, 3) and D (5, - 4) are three vertices of a square ABCD
If we plot them, we get:


Length of AD = Length of BC
Length of AB = Length of CD
From point D, we have made a parallel line to AB, towards the third quadrant.
Similarly from point B, we have made a parallel line to AD, towards the third quadrant.
These lines intersect at the point C (-2, -4).
Hence the square ABCD is formed and C is (-2, -4).

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