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geometry
vocab
20
Mathematics
11th Grade
02/13/2015

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Term
perpendicular bisector
Definition
of a segment is a line, a ray, or even a plane that is perpendicular to a segment at mid point.
Term
perpendicular bisector theorem
Definition
if a point is on the perpendicular bisector of segment, then it is equidistant from the endpoints of a segment.
Term
angle bisector
Definition
if a point is on the bisector of an angle, then the point is equidistant from the angle
Term
angle bisector theorem
Definition
if a point in the interior of an angle is equidistant from the sides of the angle, then angle the point is on the angle bisector
Term
Perpendicular bisector of a triangle
Definition
is a line that is perpendicular to a side of a triangle at the sides of midpoint
Term
concurrent
Definition
three or more line intersect at one point
Term
point of concurrency
Definition
point which the intersect
Term
concurrency of perpendicular of bisector
Definition
the perpendicular bisector of the side of a triangle are concurrent at point equidistant from the vertices
Term
circumcenter of a triangle
Definition
the point of concurrency of the perpendicular bisector of this triangle
Term
Circumcenter of acute triangle
Definition
inside of the triangle
Term
Circumcenter of right triangle
Definition
on the hypotenuse of the triangle
Term
circumcenter of obtuse triangle
Definition
outside the triangle
Term
angle bisector triangle
Definition
is a bisector of an angle of the triangle
split the angle in half
Term
Concurrency of angle bisector theorem
Definition
the bisector of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle
Term
incenter of the triangle
Definition
the point of concurrency of a bisector of a triangle
Term
median of a triangle
Definition
is a segment whose endpoints are a vertex and the midpoint of the opposite side. a triangle three median are always cuncurrents
Term
conccurrency of the median theorem
Definition
the median of a triangle are at a point the is two thirds the distance form each vertex to the midpoint of the opposite sides
Term
altitude of a triangle
Definition
is the perpendicular segment form a vertex of a triangle to the line containing opposite sides. can be inside or outside the triangle to it can be a side of a triangle
Term
concurrency of altitudes theorem
Definition
the lines that contain the altitudes of a triangle are concurrent
Term
Orthocenter of a triangle
Definition
the orthocenter of a triangle can be inside,on, or outside the triangle
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