Math 11 Section 8. 1 Cyclic Quadrilaterals

Math 11 Section 8. 1 Cyclic Quadrilaterals

<p> Name: ______Blk: ______Math 11 Section 8. 1 – Cyclic Quadrilaterals</p><p>Quadrilateral – enclosed figure with 4 straight sides – all 4 angles add to ______</p><p>Cyclic Quadrilateral – quadrilateral with all 4 vertices ______</p><p>Cyclic Quadrilateral Properties 1) The opposite angles of a cyclic quadrilateral are supplementary.</p><p>2) Each exterior angle of a cyclic quadrilateral is equal to the opposite interior angle.</p><p>Proof of Property 1: Prove, 行B + C = 180 Connect A & D with the centre of the circle O</p><p>Proof of Property 2: Prove, 行B = E Example 1: Determine the values of x, y, and z. Point O is the centre. a) </p><p> b) </p><p>Example 2: Determine the missing angles. �1 _____</p><p>�2 _____</p><p>�3 _____</p><p>�4 _____</p><p>�5 _____</p><p>�6 _____</p><p>�7 _____</p><p>�8 _____</p><p>�9 _____</p><p>Assignment: Textbook: Page 472-473, #1-3, 5; Page 476-477, #1-4 Geometry Booklet: S16, ALL (omit #5)</p>

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