Chapter 5 1
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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 = 8.5Substitution. Answer: 8.5. Use the Perpendicular Bisector Theorems. B. Find XY . Answer: 6.

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Chapter 5.1

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Chapter 5 1

Chapter 5.1

Bisectors of Triangles


Concept

Concept


Chapter 5 1

Use the Perpendicular Bisector Theorems

A. Find BC.

BC= ACPerpendicular Bisector Theorem

BC= 8.5Substitution

Answer: 8.5


Chapter 5 1

Use the Perpendicular Bisector Theorems

B. Find XY.

Answer: 6


Chapter 5 1

Use the Perpendicular Bisector Theorems

C. Find PQ.

Answer: 7


Chapter 5 1

A. Find NO.

A.4.6

B.9.2

C.18.4

D.36.8


Chapter 5 1

B. Find TU.

A.2

B.4

C.8

D.16


Chapter 5 1

C. Find EH.

A.8

B.12

C.16

D.20


Concept1

Concept


Concept2

Concept


Chapter 5 1

Use the Angle Bisector Theorems

A. Find DB.

DB= DCAngle Bisector Theorem

DB= 5Substitution

Answer:DB = 5


Chapter 5 1

Use the Angle Bisector Theorems

B. Find mWYZ.


Chapter 5 1

Use the Angle Bisector Theorems

C. Find QS.

Answer: So, QS = 4(3) – 1 or 11.


Chapter 5 1

A. Find the measure of SR.

A.22

B.5.5

C.11

D.2.25


Chapter 5 1

B. Find the measure of HFI.

A.28

B.30

C.15

D.30


Chapter 5 1

C. Find the measure of UV.

A.7

B.14

C.19

D.25


Concept3

Concept


Chapter 5 1

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.


Chapter 5 1

Use the Incenter Theorem

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


Chapter 5 1

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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