Priove. cycticfomalteto grsI5 0

1.	Priove. cycticfomalteto grsI5 0
Answer» Let ABCD be a cyclic quadrilateral such that its diagonals AC and BD are the diameters of the circle through the vertices A, B, C, and D. As, AC is a diameter and angle in a semi-circle is a right angle ⇒∠ADC = 900and∠ABC = 900 Similarly, BD is a diameter. ⇒∠BCD =900and∠BAD = 900 Thus, ABCD is a rectangle

Answer»

Let ABCD be a cyclic quadrilateral such that its diagonals AC and BD are the diameters of the circle

through the vertices A, B, C, and D.

As, AC is a diameter and angle in a semi-circle is a right angle

⇒∠ADC = 900and∠ABC = 900

Similarly,

BD is a diameter.

⇒∠BCD =900and∠BAD = 900

Thus, ABCD is a rectangle

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