[b][size=150]A cyclic quadrilateral is a quadrilateral inscribed in a circle. All the angles are inscribed in the circle and all its sides are chords of the circle. Move points on the circle, complete the conjectures and record a sketch and the conjectures in your spiral notebook.[/size][/b]

1. How are opposite angles related? Label the angles in your sketch and write an equation in your spiral showing their relationship.[br]2. How is this relationship for cyclic quadrilaterals and opposite angles different from the relationship for parallelograms and opposite angles? Write you answer in your spiral. [br]3. Is there a relationship between consecutive angles?[br]4. Complete the conjecture below and record in your spiral notebook:[br][color=#0000ff][u][b]Cyclic Quadrilateral Conjecture[br][br][/b][/u]The opposite angles of a cyclic quadrilateral are _______________.[/color]