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special segments in triangles
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26
Mathematics
01/05/2012

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Term
altitude
Definition
An altitude is also a line which passes through a vertex of a triangle, and is at right angles to the opposite side. A triangle has three altitudes.
http://www.mathopenref.com/altitude.html
Term
Orthocenter
Definition
the intersection on the altitudes of a triangle
Term
perpendicular bisector
Definition
A line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side.
Term
circumcenter
Definition
The point where the three perpendicular bisectors of a triangle meet.
One of a triangle's points of concurrency.
http://www.mathopenref.com/trianglecircumcenter.html
Term
median
Definition
A segment that connects a vertex of a triangle to the midpoint of the side opposite the vertex.
Term
centroid
Definition
The point where the three medians of the triangle intersect.
The 'center of gravity' of the triangle

http://www.mathopenref.com/trianglecentroid.html
Term
angle bisector
Definition
A line which cuts an angle into two equal halves
one endpoint at a vertex of the triangle and the other on another point on the triangle
Term
incenter
Definition
The intersection of the angle bisectors of a triangle
Term
Any point on the perpendicular bisector of a segment is...
Definition
equidistant from the endpoints of the segment
Term
Any point that is equidistant from the endpoints of a segment lies....
Definition
on the perpendicular bisector of the segment
Term
Any point on the bisector of an angle is equidistant from...
Definition
the sides of the angle
Term
any point on or in the interior of an angle and equidistant for the sides of an angle lies on....
Definition
the angle bisector
Term
the COC are always collinear
Definition
centriod, Orthocenter, and circumcenter
Term
the orthocenter lies on the vertex of the what triangle
Definition
right
Term
in an acute triangle the perpendicular is ____ the triangle
Definition
inside
Term
In an acute triangle the altitude lays ___ the triangle
Definition
inside
Term
In an acute triangle the median lays ____ the triangle
Definition
inside
Term
In an acute triangle the angle bisector lays ____ the triangle
Definition
inside
Term
In a right triangle the perpendicular bisector lays ___ the triangle
Definition
on
Term
In a right triangle the altitude lays ___ the triangle
Definition
on
Term
In a right triangle the median lays ___ the triangle
Definition
in
Term
In a right triangle the angle bisector lays ___ the triangle
Definition
in
Term
In an obtuse triangle the perpendicular bisector lays ____ the triangle
Definition
outside
Term
In an obtuse triangle the altitude lays ___ the triangle
Definition
outside
Term
In a obtuse triangle the median lays ___ the triangle
Definition
in
Term
In an obtuse triangle the angle bisector lays ____ the triangle
Definition
in