Q. 83.8( 13 Votes )
Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.
Answer :
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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