chapter 5 angle bisectors. angle bisector a ray that bisects an angle into two congruent angles

Chapter 5 Angle Bisectors

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Chapter 5Angle Bisectors

Angle Bisector

• A ray that bisects an angle into two congruent angles.

Angle bisector theorem

• If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

Page 4: Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles

If CADmBADm

then DCDB

Page 5: Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles

ANGLE BISECTOR OF A TRIANGLE

• A bisector of an angle of a triangle

Page 6: Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles

Incenter of the triangle

• The point of concurrency of the angle bisectors

• Always lies inside the triangle!

Page 7: Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles

AlwaysInside!

Page 8: Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles

Angle bisector formula

• Incenter to sides same length.

Page 9: Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles

PFPEPD

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