Question

if diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral prove that it is a rectangle​

Answer 1

Answer:

proved

Step-by-step explanation:

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Answer 2

Answer:

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.

So, ∠ ABC = ∠ BCD = ∠ CDA = ∠ DAB = 90°

So, as each internal angle is 90°, it can be said that the quadrilateral ABCD is a

rectangle.