Geometry/Trig Name: __________________________

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Geometry/Trig Name: __________________________ Unit 8 GSP Circles Lab Date: ___________________________ Circles Day 3 – Section 9.5 Theorem 9-7 Inscribed Angle (see note in BLUE on GSP for definition): _________________________________________________________ ______________________________________________________________________________________________________________________ TAB 1 Sketch the Diagram Fill in the Measurements: mÐABC mADC TAB 1 mADC Conclusion (Theorem 9-7): The measure of an inscribed angle is equal to __________________________ of its intercepted arc. Example: Example: A E D B C F H J G 92° 44° 109° TAB 1 mAE = 102 mÐABE = __________ mÐACE = __________ mÐADE = __________ mBD = 129 mÐBAD = __________ mÐGFJ = ________ mHJ = __________ mFG = __________ mFGH = _________ mFHG = _________ TAB 1

Circles Day 3 (Section 9-5) – page 2 Geometry/Trig Unit 8 GSP Circles Lab Circles Day 3 (Section 9-5) – page 2 Section 9.5 Corollary 1 Sketch the Diagram (include measurement): TAB 2 Complete: AB is a _______________. ACB is a _______________. TAB 2 Conclusion (Corollary 1): An angle inscribed inside of a semicircle is ___________________________________. Examples: (AB is a diameter of each circle). x° y° w° z° mBD = 80 mÐADB = _____ mÐACB = _____ w = _________ x = __________ y = _________ z = __________ TAB 2 B A D AB = 26, AD = 24, DB = ________ mÐDBA = ______ (d) mÐDAB = ______ TAB 2

Circles Day 3 (Section 9-5) – page 3 Geometry/Trig Unit 8 GSP Circles Lab Circles Day 3 (Section 9-5) – page 3 Section 9.5 Corollary 2 Sketch the Diagram (identify the four angle measurements): TAB 3 mÐA = _______ mÐB = _______ mÐC = _______ mÐD = _______ TAB 3 Conclusion (Corollary 2): If a quadrilateral is inscribed in a circle, then its opposite angles are _____________________. Example: Find: mÐJKL = __________ mÐKLM = __________ mMJK = ___________ mJK = _____________ mMLK = ____________ mLMJ = ____________ mLMK = ____________ TAB 3 mÐLMJ = 73 mÐMJK = 88 mMJ = 102 TAB 3

Geometry/Trig Unit 8 GSP Circles Lab Circles Day 3 (Section 9-5) – page 4 Section 9.5 Theorem 9-8 Sketch the Diagram TAB 4 mÐDBC mBGD mBGD TAB 4 Conclusion (Theorem 9-8): The measure of an angle formed by a chord and a tangent is equal to _______ the measure of the intercepted arc. Examples: Find: mAC = __________ mÐBAC = __________ mÐDAC = __________ TAB 4 Find: mAC = __________ mÐBAC = __________ If mAD = 100, find: mACD = ___________ mCD = _____________ TAB 4 DON’T FORGET TO TAKE QUIA QUIZ CIRCLES DAY 3!!