Prove the cyclic trapezium is isosceles
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In order to prove the trapezium to be isosceles first draw the figure of cyclic trapezium, expand the figure in order to draw it as a parallelogram. ... Hence, cyclic trapezium ABCD is isosceles as the opposite sides which are not parallel are equal.
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Let ABCD be the cyclic trapezium with AB||CD . Through C let us draw CE parallel to AD meeting AB at E. ... Hence, cyclic trapezium ABCD is isosceles as the opposite sides which are not parallel are equal. Note: A cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle.
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