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ABCD is a trapezium where AB and CD are non-parallel sides. If the vertices A, B, C and D are concyclic, then 

(a) AB is also parallel to CD 

(b) AB = \(\frac{1}{2}\) CD  

(c) \(\frac{1}{2}\) AB = CD 

(d) AB = CD

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Best answer

(d) AB = CD.

If a trapezium is inscribed in a circle, i.e., it is a cyclic trapezium, then it is an isosceles trapezium, i.e., non-parallel sides are equal ⇒ AB = CD.

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