9.5/9.6 Inscribed Angles and Quadrilaterals HW: 9.5 (#5 – 13) 9.6 (#9 – 13 )

Essential Question: How does the measure of an inscribed angle relate to a central angle?

Angle formed by 2 chords with a common endpoint

Measure of an inscribed ∠ is ½ the measure of the intercepted arc

2 inscribed ∠ s w/ the same intercepted arc are ≅

Circle Formulas/Thms Packet Take 3min to write these thms in your packet in your own words. Write it so you will understand it. Add a picture too! Inscribed Angle Thm Congruent Inscribed Angles Thm

45 x 2= 90 76/2= 38

124/2= 62

180/2= 90

Technology Break 5 min HW: 9.5 (#5 – 13) 9.6 (#9 – 13 )

Essential Question: What are the properties of a quadrilateral inscribed in a circle?

Polygon inside a circle and whose vertices are on the circle

inscribed oppositesupplementary

Circle Formulas/Thms Packet Take 2min to write this thm in your packet in your own words. Write it so you will understand it. Add a picture too! Inscribed Quadrilateral Thm

x + 80 = 180 x = z = 180 z = 87 y + 71 = 180 y = = 164 x = 164/2 x = y = 180 y = 98

105 + (7x +1) = 180 7x = 74 x ≈ You find y! (4y +14) + (7y +1) = y = 165 y = 15

You find x and y! x = 180 x = 72° y + 88 = 180 y = 92°

Mid Chapter Exit Slip 1) Find the arc length AND area of the sector. Keep the pi. 3) Find RQ. Independently complete the exit slip and turn in. 4m 90° 2) Given the circle, find the measure of arc BD. 6 8

9.5 (#5 – 13) 9.6 (#9 – 13 )