If two opposite sides of a cyclic quadrilateral are equal; then the other two sides are parallel.

If two sides of a cyclic quadrilateral are equal, prove that the other two sides are parallel.

If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal,prove that its diagonals are equal.

If the opposite sides of a quadrilateral are equal, prove that the quadrilateral is a parallelogram.

Theorem 8.3 : If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.

If two sides of a cyclic quadrilateral are parallel,prove that the remaining two sides are equal and the diagonals are also equal.OR A cyclic trapezium is isosceles and its diagonals are equal.

The bisectors of the angles formed by producing the opposite sides of a cyclic quadrilateral (provided that they are not parallel) intersect at right angle.

If the opposite sides of a quadrilateral and also its diagonals are equal, then each of the angles of the quadrilateral is