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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

Chapter 5.1

Bisectors of Triangles



Use the Perpendicular Bisector Theorems

A. Find BC.

BC = AC Perpendicular Bisector Theorem

BC = 8.5 Substitution

Answer: 8.5




A. Find NO.

A. 4.6

B. 9.2

C. 18.4

D. 36.8


B. Find TU.

A. 2

B. 4

C. 8

D. 16


C. Find EH.

A. 8

B. 12

C. 16

D. 20




Use the Angle Bisector Theorems

A. Find DB.

DB = DC Angle Bisector Theorem

DB = 5 Substitution

Answer:DB = 5



Use the Angle Bisector Theorems

C. Find QS.

Answer: So, QS = 4(3) – 1 or 11.


A. Find the measure of SR.

A. 22

B. 5.5

C. 11

D. 2.25


B. Find the measure of HFI.

A. 28

B. 30

C. 15

D. 30


C. Find the measure of UV.

A. 7

B. 14

C. 19

D. 25



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.


Use the Incenter Theorem

B. Find mSPU if S is the incenter of ΔMNP.


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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