P Preliminary Concepts 1 Line And Angle Relationships 2 Parallel Lines 3 Triangles 4 Quadrilaterals 5 Similar Triangles 6 Circles 7 Locus And Concurrence 8 Areas Of Polygons And Circles 9 Surfaces And Solids 10 Analytic Geometry 11 Introduction To Trigonometry A Appendix Chapter6: Circles
6.1 Circles And Related Segments And Angles 6.2 More Angle Measures In The Circle 6.3 Line And Segment Relationships In The Circle 6.4 Some Constructions And Inequalities For The Circle 6.CR Review Exercise 6.CT Test Section6.2: More Angle Measures In The Circle
Problem 1E: Given: mAB=92mDA=114mBC=138 Find: a)m1(DAC)b)m2(ADB)c)m3(AFB)d)m4(DEC)e)m5(CEB) Problem 2E: Given: mDC=30 and mDABC is trisected at points A and B Find: a)m1d)m4b)m2e)m5c)m3 Problem 3E: Given: Circle O with diameter RS, tangent SW, chord TS and mRT=26 Find: a)mWSRb)mRSTc)mWST Problem 4E Problem 5E Problem 6E: Is it possible for a a rectangle inscribed in a circle to have a diameter for a side? Explain. b a... Problem 7E: Given: In Q, PR contains Q, MR is a tangent, mMP=112, mMN=60 and mMT=46 Find: a)mMRPb)m1c)m2 Problem 8E: Given: AB and AC are tangent to O, mBC=126 Find: a)mAb)mABCc)mACB Problem 9E: Given: Tangent ABand AC to O mACB=68 Find: a)mBCb)mBDCc)mABCd)mA Problem 10E: Given: m1=72,mDC=34 Find: a)mABb)m2 Problem 11E: Given: m2=36mAB=4mDC Find: a)mABb)m1 Problem 12E: Given: m3=42 Find: a)mRTb)mRST Exercises 12,13 Problem 13E: Given: RSSTRT Find: a)mRTb)mRSTc)m3 Exercises 12,13 Problem 14E: Given: m1=63mRS=3x+6mVT=x Find: mRS Exercises 14, 15 Problem 15E: Given: m2=124mTV=x+1mSR=3(x+1) Find: mTV Exercises 14, 15 Problem 16E: Given: m1=71m2=33 Find: mCE and mBD Exercises 16, 17 Problem 17E: Given: m1=62m2=26 Find: mCE and mBD Exercises 16, 17 Problem 18E: aHow are R and T related? bFind mR if mT=112. Exercises 18,19 Problem 19E Problem 20E: A quadrilateral RSTV is circumscribed about a circle so that its tangent sides are at the endpoints... Problem 21E: In Exercises 21 and 22, complete each proof. Given: AB and AC are tangent to o from point A Prove:... Problem 22E: In Exercises 21 and 22, complete each proof. Given: RSTQ Prove: RTSQ PROOF Statements Reasons 1.... Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: An airplane reaches an altitude of 3mi above the earth. Assuming a clear day and that a passenger... Problem 28E: From the veranda of a beachfront hotel, Manny is searching the seascape through his binoculars. A... Problem 29E: For the five-pointed star a regular pentagram inscribed in the circle, find the measure of 1and2. Problem 30E: For the six-pointed star a regular hexagram inscribed in the circle, find the measures of 1and2. Problem 31E: A satellite dish in the shape of a regular dodecagon 12 sides is nearly circular. Find: a mAB b mABC... Problem 32E: In the figure shown, RSTWVT by the reason AA. Name two pairs of congruent angles in these similar... Problem 33E: In the figure shown, RXVWXS by the reason AA. Name two pairs of congruent angles in these similar... Problem 34E: On a fitting for a hex wrench, the distance from the center o to a vertex is 5mm The length of... Problem 35E: Given: AB is a diameter of M is the midpoint of chord AC N is the midpoint of chord CB MB=73,AN=213... Problem 36E: A surveyor sees a circular planetarium through an angle that measures 60. If the surveyor is 45ft... Problem 37E: The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent... Problem 38E: In R,QS=2(PT). Also, mP=23. Find mVRS. Problem 39E Problem 40E Problem 41E Problem 42E: In Exercises 39 to 47, provide a paragraph proof. Be sure to provide a drawing, Given, and Prove... Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E: Given concentric circles with center O, ABC is inscribed in the larger circle, as shown. If BC is... Problem 49E Problem 6E: Is it possible for a a rectangle inscribed in a circle to have a diameter for a side? Explain. b a...
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