Segment and Angle Bisectors

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Segment and Angle Bisectors

• Chapter 1.5

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Definitions

• Midpoint- of a segment is the point that divides
  or bisects the segment into two congruent
  segments.
• Segment Bisector- is a segment, ray, line, or
  plane that intersects a segment at its midpoint.

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Midpoint Formula

• If and are points in a
  coordinate plane, then the midpoint of AB has
  coordinates

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Midpoint FormulaExample

• Find the coordinates of the midpoint of AB with
  endpoints A(-2,3) and B(6,-1).

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Definition

• Angle Bisector- a line, ray, or line segment that
  divides an angle into two adjacent angles that
  are congruent.

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Angle BisectorExample

• The ray bisects the angle . Given
  that , what are the measures of
  and ?

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Angle BisectorExample

• Solve for x.