Prove that a trapezoid is cyclic only if it is isosceles.

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Prove that an isosceles trapezium is always cyclic.

Prove that non-isosceles trapeziums are not cyclic.

All isosceles trapezoids are cyclic quadrilaterals.

If a line is drawn parallel to the base of an isosceles triangle to intersect its equal sides. Prove that the quadrilateral, so formed is cyclic.

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