Chapter 5.1 Bisectors of Triangles. Concept Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC=

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Presentation transcript:

Chapter 5.1 Bisectors of Triangles

Concept

Use the Perpendicular Bisector Theorems A. Find BC. Answer: 8.5 BC= ACPerpendicular Bisector Theorem BC= 8.5Substitution

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

Use the Angle Bisector Theorems A. Find DB. Answer: DB = 5 DB= DCAngle Bisector Theorem DB= 5Substitution

Use the Angle Bisector Theorems B. Find m  WYZ.

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 Δ MNP. 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 Δ MNP.

A.12 B.144 C.8 D.65 A. Find the measure of GF if D is the incenter of Δ ACF.