Opposite angles and Cyclic Quadrilateral
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.
1. How are opposite angles related? Label the angles in your sketch and write an equation in your spiral showing their relationship.
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.
3. Is there a relationship between consecutive angles?
4. Complete the conjecture below and record in your spiral notebook:
Cyclic Quadrilateral Conjecture
The opposite angles of a cyclic quadrilateral are _______________.