Q: 7 If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.
AC is the diameter of the circle.
Thus, and ............................1(Angle in a semi-circle is right angle)
Similarly, BD is the diameter of the circle.
Thus, and ............................2(Angle in a semi-circle is right angle)
From 1 and 2, we get
Hence, ABCD is a rectangle.