Prove that a cyclic rhombus is a square

Prove that the area of a rhombus is equal to half of the product of the diagonals.

State whether the statements are True or False. Every rhombus is a square

Prove that the area of a rhombus is half the area of the rectangle produced by the diagonals of the rhombus.

Prove that a cyclic parallelogram must be a rectangle.

Prove that cyclic trapezium is isoscles trapezium and the length of its diagonals are same.

Prove that cyclic paralleloram must be a retangle.

Prove that an isosceled trapeqium is a cyclic quqdrilatral.

Prove that the quadrilateral formed by joining the mid-points of the sides of a rectangle is a rhombus, but not a square.

Prove that an isosceles trapezium is always cyclic.