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Chapter 5.1

Chapter 5.1. Bisectors of Triangles. Concept. Use the Perpendicular Bisector Theorems. A. Find BC . BC = AC Perpendicular Bisector Theorem BC = 8.5 Substitution. Answer: 8.5. Use the Perpendicular Bisector Theorems. B. Find XY . Answer: 6.

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Chapter 5.1

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  1. Chapter 5.1 Bisectors of Triangles

  2. Concept

  3. Use the Perpendicular Bisector Theorems A. Find BC. BC = AC Perpendicular Bisector Theorem BC = 8.5 Substitution Answer: 8.5

  4. Use the Perpendicular Bisector Theorems B. Find XY. Answer: 6

  5. Use the Perpendicular Bisector Theorems C. Find PQ. Answer: 7

  6. A. Find NO. A. 4.6 B. 9.2 C. 18.4 D. 36.8

  7. B. Find TU. A. 2 B. 4 C. 8 D. 16

  8. C. Find EH. A. 8 B. 12 C. 16 D. 20

  9. Concept

  10. Concept

  11. Use the Angle Bisector Theorems A. Find DB. DB = DC Angle Bisector Theorem DB = 5 Substitution Answer:DB = 5

  12. Use the Angle Bisector Theorems B. Find mWYZ.

  13. Use the Angle Bisector Theorems C. Find QS. Answer: So, QS = 4(3) – 1 or 11.

  14. A. Find the measure of SR. A. 22 B. 5.5 C. 11 D. 2.25

  15. B. Find the measure of HFI. A. 28 B. 30 C. 15 D. 30

  16. C. Find the measure of UV. A. 7 B. 14 C. 19 D. 25

  17. Concept

  18. Use the Incenter Theorem A. Find ST if S is the incenter of ΔMNP. By the Incenter Theorem, since S is equidistant from the sides of ΔMNP,ST = SU. Find ST by using the Pythagorean Theorem.

  19. Use the Incenter Theorem B. Find mSPU if S is the incenter of ΔMNP.

  20. A. Find the measure of GF if D is the incenter of ΔACF. A. 12 B. 144 C. 8 D. 65

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