Question

If two non-parallel sides of a trapezium are equal, it is cyclic. Prove it.

Or

An isosceles trapezium is always cyclic. Prove it.

Answer 1

Given – ABCD is a trapezium in which AB ∥ CD and AD = BC

To prove – ABCD is cyclic

Construction – draw DE ∥ BC

Proof –

DCBE is a parallelogram [by construction]