Question

Prove that the circle drawn with any side of a rhombus as diameter passes through the point of intersection of its diagonals

Answer 1

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Answer 2

Answer:

Given a rhombus ABCD and its diagonals AC and BD intersect at point O. We need to prove that the circle drawn on any side, say AB, as a diameter passes through the point O. Since the diagonals of the rhombus intersect at right angle, angle AOB = 90°.

Therefore, the circle drawn on AB as a diameter passes through the point O.