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Geometry Vocab.
N/A
21
Mathematics
9th Grade
02/13/2015

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Term
Perpendicular Bisector
Definition
of a segment, a ray, or even a plane that is perpendicular to the segment at its midpoint.
Term
Perpendicular Bisector Theorem
Definition
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Term
Converse of the Perpendicular Theorem
Definition
If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
Term
Angle Bisector Theorem
Definition
If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.
Term
Converse of the Angle Bisector Theorem
Definition
If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.
Term
A perpendicular bisector of a Triangle
Definition
is a line (or a segment, a ray, or a plane) that is perpendicular to a side of the triangle at the side's midpoint.
Term
Concurrent
Definition
When there or more lines intersect at one point
Term
Concurrency
Definition
The point at which they interest is called the point of concurrency.
Term
Concurrency of a Perpendicular Bisector Theorem
Definition
The perpendicular bisectors of the sides of the triangle are concurrent from the vertices.
Term
Circumcenter
Definition
the point of concurrency of the perpendicular bisectors of the perpendicular bisectors of this triangle, is also called the circumcenter of the triangle.
Term
Circumcenter of an acute triangle
Definition
The circumcenter point is inside the triangle.
Term
The circumcenter of a Right Triangle
Definition
The circumcenter is on the hypotenuse
Term
The circumcenter of an obtuse angle
Definition
Circumcenter is outside of a triangle.
Term
Angle Bisector of a Triangle
Definition
An angle bisector of a triangle is a bisector of an angle of the triangle.
Term
Concurrency of an Angle Bisector Theorem
Definition
The bisector of the angles of triangle are concurrent at a point equidistant from the side of the triangle.
Term
Incenter of the Triangle
Definition
The point of concurrency of the angle bisector of a triangle is called the incenter of the triangle and the incenter is always inside the triangle. t
Term
Median of a Triangle
Definition
is a segment whose endpoints are a vertex and the midpoint of the opposite side. A triangle's three medians are always concurrent.
Term
Concurrency of a Medians Theorem
Definition
The medians of a triangle are concurrent at a point that is two-thirds the distance from each vertex to the midpoint of the opposite side.
Term
Altitude of a Triangle
Definition
is the perpendicular segment from a vertex of the triangle to the line containing the opposite side. An altitude of a triangle can be a side of the 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 lines that contain the altitudes of a triangle are concurrent at the orthocenter of the triangle. The orthocenter of a triangle can be inside, on, or outside the triangle.
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