Question

All isosceles trapezoids are cyclic quadrilaterals.

• A. True
• B. False

Answer 1

The correct option is A

True

An isosceles trapezium will look like the figure shown above.
Here, $\angle$A = $\angle$B and $\angle$C = $\angle$D.
Since $\angle$A and $\angle$D are supplementary, we can say from the equations above that
$\angle$A + $\angle$C= ${180}^{\circ }$
and that $\angle$B + $\angle$D =${180}^{\circ }$
Thus. opposite angles of the quadrilateral are supplementary. Hence. it is a cyclic quadrilateral.