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Chapter 9 In the diagram, DA 1 AB. 1. Name a chord that is not a diameter. 2. Name a diameter. Exs. 1-5 3. Name a radius. 4. Name a tangent. 5. Name a secant. E

Chapter 9 In the diagram, DA 1 AB. 1. Name a chord that is not a diameter. 2. Name a diameter. Exs. 1-5 3. Name a radius. 4. Name a tangent. 5. Name a secant. E

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Chapter 10 Begin by drawing segments and angles roughly like those shown. 1. Construct an angle A such that m LA = }m L 2. 2. Construct a segment of length x + 3y. 3. Construct an isosceles right triangle with legs of length x. 4. Construct AABC with ZA = L1, LB = L2, and AB = x. 5. Construct ADEF so that DE = x, EF = y, and LE = L1. 6. Construct an angle having measure 60°. 7. Draw a line 1, and select a point A on l. Construct a line perpendicular to 1 at point A. 8. Refer to Exercise 7, and select a point B not to I through point B. 9. Draw a large circle and a point M not on the circle. From point M, construct a tangent to the circle. 1. Construct a line parallel 10. Draw a large acute triangle. Construct a circle that circumscribes the triangle. 11. What is the locus of points in a plane at a given distance from a given line? 12. What is the locus of points in space at a given distance from a given point? 13. What is the locus of points in a plane equidistant from two intersecting lines? 14. What is the locus of all points in space equidistant from two points?
Transcribed Image Text:Chapter 10 Begin by drawing segments and angles roughly like those shown. 1. Construct an angle A such that m LA = }m L 2. 2. Construct a segment of length x + 3y. 3. Construct an isosceles right triangle with legs of length x. 4. Construct AABC with ZA = L1, LB = L2, and AB = x. 5. Construct ADEF so that DE = x, EF = y, and LE = L1. 6. Construct an angle having measure 60°. 7. Draw a line 1, and select a point A on l. Construct a line perpendicular to 1 at point A. 8. Refer to Exercise 7, and select a point B not to I through point B. 9. Draw a large circle and a point M not on the circle. From point M, construct a tangent to the circle. 1. Construct a line parallel 10. Draw a large acute triangle. Construct a circle that circumscribes the triangle. 11. What is the locus of points in a plane at a given distance from a given line? 12. What is the locus of points in space at a given distance from a given point? 13. What is the locus of points in a plane equidistant from two intersecting lines? 14. What is the locus of all points in space equidistant from two points?
Chapter 9 In the diagram, DA 1 AB. 1. Name a chord that is not a diameter. B 2. Name a diameter. Exs. 1-5 3. Name a radius. 4. Name a tangent. 5. Name a secant. E A CÁ and CB are tangent to O0. Exs. 6-9 6. тLAOB 0• 120° 7. m LADB 8. m LACB %3D B 9. m LEAD ? D 40° 10. If m LAEB 20, then m LAFB = ?. 11. If mAB = 95 and mEF = 25, then m LAGB = ?. E 12. If mAB = 70 and mEF 30, then m LAHB %3D 13. If mAB = 85 and m LEHF 59, then mEF = ? Exs. 10-13 %3D F For Exercises 14–17 find the value of x. В 14. A 15. A E 16. BA is tangent to the circle. 17. CA and CB are tangent to the circle. A 12 В B 18. Given: AD and BE are chords intersecting at C. Prove: ABCA ~~ ADCE T20 Copyright © Houghton Mifflin Company. Permission to reproduce is granted to users of GEOMETRY. 6.
Transcribed Image Text:Chapter 9 In the diagram, DA 1 AB. 1. Name a chord that is not a diameter. B 2. Name a diameter. Exs. 1-5 3. Name a radius. 4. Name a tangent. 5. Name a secant. E A CÁ and CB are tangent to O0. Exs. 6-9 6. тLAOB 0• 120° 7. m LADB 8. m LACB %3D B 9. m LEAD ? D 40° 10. If m LAEB 20, then m LAFB = ?. 11. If mAB = 95 and mEF = 25, then m LAGB = ?. E 12. If mAB = 70 and mEF 30, then m LAHB %3D 13. If mAB = 85 and m LEHF 59, then mEF = ? Exs. 10-13 %3D F For Exercises 14–17 find the value of x. В 14. A 15. A E 16. BA is tangent to the circle. 17. CA and CB are tangent to the circle. A 12 В B 18. Given: AD and BE are chords intersecting at C. Prove: ABCA ~~ ADCE T20 Copyright © Houghton Mifflin Company. Permission to reproduce is granted to users of GEOMETRY. 6.
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