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Transcript
Geometry Quiz Review 6.2-6.3
Perpendicular
Definition
Point Of
Concurrency
Angle
Bisector
Bisector
Is perpendicular Bisects
to a segment at angles
its midpoint
(bisects
segments)
Circumcenter
Property
= distance to
vertex
Incenter
Median
Segment
from
vertex to
midpoint
of sides
Altitude
Segment from
vertex
perpendicular
to side or line
containing side
Centroid
Orthocenter
Centroid
= distance is 2/3 of
from sides distance
from
vertex to
side
None
Circumcenter Theorem
equidistant
Incenter Theorem
equidistant
USING MEDIANS OF A TRIANGLE
THEOREM 6.7
Centroid Theorem
The centroid of a triangle is two-thirds of the
distance from each vertex to the midpoint of
the opposite side.
If P is the centroid of ABC, then
2
AP =
AD
3
BP = 2 BF
3
CP = 2 CE
3
P