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Ch4.4_AltitudesMedians.notebook
1
October 24, 2011
Chapter 4.4Altitudes, Medians,and Perpendicular Bisectors
Ch4.4_AltitudesMedians.notebook
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October 24, 2011
Perpendicular BisectorCuts a side of a triangle in halfand makes a right angle
the perp. bisector mightnot go throughthe opposite vertex
Perpendicular Bisector TheoremIf a point lies on the perp. bisectorof a segment, then it is equidistantfrom the segment's endpoints
A X B
C
Ch4.4_AltitudesMedians.notebook
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October 24, 2011
Altitudesegment drawn from a vertexto the opposite side creatinga right angle.
Mediansegment drawn from the midpoint of a Δto the opposite vertex
Point of Concurrency When 3 or more lines intersect at a point(will not always be INSIDE the triangle)
Ch4.4_AltitudesMedians.notebook
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October 24, 2011
Examples
AltitudeMedianPerpendicular Bisector
AltitudeMedianPerpendicular Bisector
AltitudeMedianPerpendicular Bisector
AltitudeMedianPerpendicular Bisector
Ch4.4_AltitudesMedians.notebook
5
October 24, 2011
Draw all altitudes
Draw all medians
Ch4.4_AltitudesMedians.notebook
6
October 24, 2011
Draw all altitudes
Draw all medians
Ch4.4_AltitudesMedians.notebook
7
October 24, 2011
Draw all altitudes
Draw all medians
Ch4.4_AltitudesMedians.notebook
8
October 24, 2011
Draw all altitudes
Draw all medians