Prove that the diagonals of a rectangle ABCD, with vertices A (2, -1), B (5, -1), C (5, 6) and D (2, 6) are equal and bisect each other.

Distance between two points is given by = ![]()
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AC = ![]()
BD = ![]()
= ![]()
⸫ AC = BD i.e. diagonals are equal
Mid-point of AC =
= ![]()
Mid-point of BD =
= ![]()
⸫ Diagonals bisect each other
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