Bisectors of Triangles

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Section 5-2

• Bisectors of Triangles

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Theorem 5-2Perpendicular Bisector Theorem

• If a point is on the perpendicular bisector of a
  segment, then it is equidistant from the
  endpoints of the segment.

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Theorem 5-3Converse of the Perpendicular
Bisector Theorem

• If a point is equidistant from the endpoints of
  the segment, then it is on the perpendicular
  bisector of a segment.

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Theorem 5-4Angle Bisector Theorem

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

5
Theorem 5-5Converse of the Angle Bisector Theorem

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

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Homework

• P.251
• 1-4, 6-7, 12-15, 18-26, 31, 41-42, 48