Altitudes, Medians, and Perpendicular Bisectors - PowerPoint PPT Presentation

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Altitudes, Medians, and Perpendicular Bisectors

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Definition. Perpendicular Bisector. Any line, ray, or segment that is perpendicular to a segment at its midpoint. ... perpendicular bisector of a segment, then ... – PowerPoint PPT presentation

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Title: Altitudes, Medians, and Perpendicular Bisectors


1
Altitudes, Medians, and Perpendicular Bisectors
  • Geometry Chapter 2 Section 4

2
Definitions
  • Altitude
  • is the perpendicular segment from a vertex to the
    line containing the opposite side.

3
Definitions
  • Median
  • is a segment with endpoint that is a vertex of
    the triangle and the midpoint of the opposite
    side.

4
Definition
  • Perpendicular Bisector
  • Any line, ray, or segment that is perpendicular
    to a segment at its midpoint.

5
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.

6
Example
7
Example
8
Example
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