1. Ch4.4_AltitudesMedians.notebook October 24, 2011
Chapter 4.4
Altitudes, Medians,
and Perpendicular Bisectors
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2. Ch4.4_AltitudesMedians.notebook October 24, 2011
Perpendicular Bisector
Cuts a side of a triangle in half
and makes a right angle
the perp. bisector might
not go through
the opposite vertex
Perpendicular Bisector Theorem
If a point lies on the perp. bisector
of a segment, then it is equidistant
from the segment's endpoints
C
A X B
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3. Ch4.4_AltitudesMedians.notebook October 24, 2011
Altitude
segment drawn from a vertex
to the opposite side creating
a right angle.
Median
segment drawn from
the midpoint of a Δ
to the opposite vertex
Point of Concurrency
When 3 or more lines intersect at a point
(will not always be INSIDE the triangle)
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4. Ch4.4_AltitudesMedians.notebook October 24, 2011
Examples
Altitude
Median
Perpendicular Bisector
Altitude
Median
Perpendicular
Bisector
Altitude
Median
Perpendicular
Bisector
Altitude
Median
Perpendicular
Bisector
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5. Ch4.4_AltitudesMedians.notebook October 24, 2011
Draw all medians
Draw all altitudes
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6. Ch4.4_AltitudesMedians.notebook October 24, 2011
Draw all medians
Draw all altitudes
6

7. Ch4.4_AltitudesMedians.notebook October 24, 2011
Draw all medians
Draw all altitudes
7

8. Ch4.4_AltitudesMedians.notebook October 24, 2011
Draw all medians
Draw all altitudes
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