Math 11 Section 8. 1 Cyclic Quadrilaterals

Name: ______Blk: ______Math 11 Section 8. 1 – Cyclic Quadrilaterals

Quadrilateral – enclosed figure with 4 straight sides – all 4 angles add to ______

Cyclic Quadrilateral – quadrilateral with all 4 vertices ______

Cyclic Quadrilateral Properties 1) The opposite angles of a cyclic quadrilateral are supplementary.

2) Each exterior angle of a cyclic quadrilateral is equal to the opposite interior angle.

Proof of Property 1: Prove, 行B + C = 180 Connect A & D with the centre of the circle O

Proof of Property 2: Prove, 行B = E Example 1: Determine the values of x, y, and z. Point O is the centre. a)

Example 2: Determine the missing angles. �1 _____

�2 _____

�3 _____

�4 _____

�5 _____

�6 _____

�7 _____

�8 _____

�9 _____

Assignment: Textbook: Page 472-473, #1-3, 5; Page 476-477, #1-4 Geometry Booklet: S16, ALL (omit #5)