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This practice worksheet focuses on the application of concepts related to inscribed angles, central angles, and arcs within circles. It includes problems that require calculating measures of angles and arcs, reinforcing knowledge of geometric properties. Students will work through problems involving central angles, inscribed angles, and tangents to enhance their understanding of these critical concepts in geometry.
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Geometry/Trig 2 Name __________________________ 9-5 Practice Date _______________ Block ______ Apply what you know about inscribed angles , central angles and arcs. 1) 2) X is the center of the circle. A G C X 120 D 75 F B mAC = ______ mABC = ______ mGF = ______ mGDF = ______ 3) 4) NQ is a diameter of the circle. J 100 P 40 K N Q M L mNP = ______ mNPQ = ______ mPNQ = ______ mJMK = ______ mJLK = ______ 5) 6) R D A 160 160 80 C mADC = ______ mBAD= ______ mAC = _______ mBCD = ______ 75 mST = ______ mSRT = ______ mRST = ______ S T B
Geometry/Trig 2 9-5 Practice 7) 8) Given mJHK = 164. H J K M L 114 mÐBAC = ______ mADC = _______ mCD = ________ mABD= _______ mAB = ________ mÐMJL = ________ mÐMKL = ________ mÐMHL = ________ mÐJLK= ________ 9) BD is tangent to the circle at point A. 10) If mEG = 118, find: E F D B A 78 G 98° 38° C 124° H D mAC = _________ mÐDAC = ________ mÐBAC = _______ mEH = ________ mEHG = ________ mÐDEH = _______ mGH = ________