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Triangles
Glencoe Chapter 5
12
Mathematics
9th Grade
01/25/2010

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Term
Circumcenter
Definition
The point of concurrency of the perpendicular bisectors of a triangle.
Term
Circumcenter Theorem
Definition
The Circumcenter of a triangle is equidistant from the vertices of the triangle.
Term
Incenter
Definition
The point of concurrency of the angle bisectors of a triangle.
Term
Incenter Theorem
Definition
The incenter of a triangle is equidistant from each side of the triangle.
Term
Centroid
Definition
The point of concurrency for the medians of a triangle.
Term
Centroid Theorem
Definition
The centroid of a triangle is located 2/3 of the distance from a vertex to the midpoint of the side opposite the vertex on a median.
Term
Orthocenter
Definition
The point of concurrency of the altitudes of a triangle.
Term
Altitude
Definition
A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side.
Term
Perpendicular Bisector
Definition
A line, segment or ray that passes through the midpoint of a side and is perpendicular to that side.
Term
angle bisector
Definition
A ray that divides an angle into two congruent angles.
Term
Exterior Angle Inequality Theorem
Definition
The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles.
Term
Triangle Inequality Theorem
Definition
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
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