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## PowerPoint Slideshow about ' Chapter 5.1' - barney

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### 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

Use the Angle Bisector Theorems

A. Find DB.

DB = DC Angle Bisector Theorem

DB = 5 Substitution

Answer:DB = 5

Use the Angle Bisector Theorems

B. Find mWYZ.

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.

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