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State True or False. Given any two diameters of a circle the convex quadrilateral formed by joining the extremities of the diameters is always a rectangle.
Correct Answer: True
The diagonals of the quadrilateral are the two diameters. They are equal in length and bisect each other at the centre. A quadrilateral whose diagonals are equal and bisect each other is a rectangle, so the statement is True.
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