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Chapter 5.1Bisectors of Triangles
Concept
Use the Perpendicular Bisector Theorems
A. Find BC.
Answer: 8.5
BC = AC Perpendicular Bisector Theorem
BC = 8.5 Substitution
Use the Perpendicular Bisector Theorems
B. Find XY.
Answer: 6
Use the Perpendicular Bisector Theorems
C. Find PQ.
Answer: 7
A. 4.6
B. 9.2
C. 18.4
D. 36.8
A. Find NO.
A. 2
B. 4
C. 8
D. 16
B. Find TU.
A. 8
B. 12
C. 16
D. 20
C. Find EH.
Concept
Concept
Use the Angle Bisector Theorems
A. Find DB.
Answer: DB = 5
DB = DC Angle Bisector Theorem
DB = 5 Substitution
Use the Angle Bisector Theorems
B. Find mWYZ.
Use the Angle Bisector Theorems
C. Find QS.
Answer: So, QS = 4(3) – 1 or 11.
A. 22
B. 5.5
C. 11
D. 2.25
A. Find the measure of SR.
A. 28
B. 30
C. 15
D. 30
B. Find the measure of HFI.
A. 7
B. 14
C. 19
D. 25
C. Find the measure of UV.
Concept
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 mSPU if S is the incenter of ΔMNP.
A. 12
B. 144
C. 8
D. 65
A. Find the measure of GF if D is the incenter of ΔACF.
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