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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Bisectors of Triangles
A. Find BC.
BC = AC Perpendicular Bisector Theorem
BC = 8.5 Substitution
B. Find XY.
C. Find PQ.
A. Find DB.
DB = DC Angle Bisector Theorem
DB = 5 Substitution
Answer:DB = 5
B. Find mWYZ.
C. Find QS.
Answer: So, QS = 4(3) – 1 or 11.
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.
B. Find mSPU if S is the incenter of ΔMNP.