Altitudes, Medians, and Perpendicular Bisectors

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Altitudes, Medians, and Perpendicular Bisectors

• Geometry Chapter 2 Section 4

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Definitions

• Altitude
• is the perpendicular segment from a vertex to the
  line containing the opposite side.

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Definitions

• Median
• is a segment with endpoint that is a vertex of
  the triangle and the midpoint of the opposite
  side.

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Definition

• Perpendicular Bisector
• Any line, ray, or segment that is perpendicular
  to a segment at its midpoint.

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Perpendicular Bisector Theorem

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

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Example
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Example
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Example