Question
(a) What kind of quadrilateral is formed by the endpoints of two diameters of a circle? Prove your answer.
It is a rectangle but needs to be proved.

(b) What more can you say about the quadrilateral in part (a) if the diameters are perpendicular to each other? Prove your answer.
It is a square but needs to be proved.
Solution
Let AB and CD two such diameters. These intersect in the center O.
(In the picture think of A as being in the lower left, and C as being in the upper right of the circle).
Consider the angle CBD, we need to show that it is...

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