# Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.

Vertices of a square ABCD are: A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) Length of side AB =

Length of side AB = = = units

Length of side BC = = = units

Length of side CD = = = units

Length of side DA = = = units

Length of diagonal BD = = = units

Length of diagonal AC = = = units

Since opposite sides are equal and diagonal are equal. Therefore given vertices are the vertices of a square.

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