Question

Any cyclic parallelogram is a

• A. rectangle
• B. rhombus
• C. trapezium
• D. square

Answer 1

Answer: (A)

rectangle

in a cyclic quadrilateral, the opposite angles are supplementary (they add up to 180),
The opposite angles of parallelogram are equal.
Let ABCD be the cyclic parallelogram with angles A and C being opposite angles.
$A=C$
$A+C=180$
since$A=C$
$A+A=180$
$2A=180$
$A=90$
if any one angle of parallelogram is 90, the parallelogram is a rectangle