Question

A parallelogram which can be inscribed in a circle must necessarily be a :

• A. Rhombus
• B. rectangle
• C. Trapezoid
• D. Square

Answer 1

The correct option is B

rectangle

A parallelogram has its opposite angles equal. For it to be inscribed in a circle, it must have the property of cyclic quadrilaterals that opposite angles are supplementary. This is only possible if these angles are both equal to ${90}^{\circ }$. Since the parallelogram will thus have four right angles, it must necessarily be a rectangle.