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19/07/2021 12:56 pm
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If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.
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19/07/2021 12:57 pm
Draw a cyclic quadrilateral ABCD inside a circle with center O such that its diagonal AC and BD are two diameters of the circle.
We know that the angles in the semi-circle are equal.
∠ABC = ∠BCD = ∠CDA = ∠DAB = 90°
So, as each internal angle is 90°, it can be said that the quadrilateral ABCD is a rectangle.