Geometry 9.1 to 9.3 Review Answers

Geometry/Trig Name: Review Section 9.1-9.3 Name one of each of the following. 1 a. Radius (\overline{CD}), (\overline{CI}), (\overline{CH}), (\overline{CA}), (\overline{GE}), (\overline{GF}) B b. Diameter (\overline{HI}) c. Secant (\overleftrightarrow{AB}), (\overleftrightarrow{HI}) C D d. Point of tangency H, D, E, F e. Common Internal Tangent (\overline{DE}) f. Chord (\overline{AB}), (\overline{HI}) G g. Center C, G H E h. Common External Tangent (\overleftrightarrow{HF}) F AB and DB are tangent to Circle C at A and D. Find x. 3. Given: \(m\angle BAD = 52^{\circ}\) 52+52=104 180-104=76 A 2x A B 52 C \[x^{\circ}=76^{\circ}\] B 10 52 \[2x=10\] \[x=5\] D D Determine if the arc is a minor arc, a major arc, or a semicircle of Circle R, then find the arc measures. TUQ major, (40+140+40=220^{\circ}) a. PQ minor, (40^{\circ}) Q b. SU minor, \(90^{\circ}\) ETUP semicircle, \(180^{\circ}\) P PQT semicircle, & QUT major, \(40+40+140\) h. \[=220^{\circ}\] c. \(\widehat{PQT}\) semicircle, \(\widehat{QUT}\) major, \(\widehat{PUQ}\) major, R S d. \(\widehat{QT}\) minor, 360-40 90+ \(50=140^{\circ}\) \[=320^{\circ}\] 400 T 7. KN and JL are diameters of circle Q. Find the indicated measures. U a. mKL = 60° f. mJML =180° J b. \(\widehat{MN} = 55^{\circ}\) g. \(m\angle JQN = 60^{\circ}\) 60 c. \(m\widehat{LNK} = 65+55+60\) . \(m\angle MQI = 165^{\circ}\) +55 \[+120=300^{\circ}\] d. mMKN 360-55 i. mJN = 60° N 15 K e. mNJK j. \(\widehat{ML} = 65^{\circ}\) 180 =305