Chapter 5

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8 Terms

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Orthocenter

The point where all three altitudes intersect; may be inside, outside, or on the triangle.

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Incenter

The point where all three angle bisectors intersect; equidistant from all sides and center of the incircle.

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Circumcenter

The point where all three perpendicular bisectors intersect; equidistant from all vertices and center of the circumcircle.

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Median
A segment drawn from a vertex of a triangle to the midpoint of the opposite side.
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Altitude
A perpendicular segment drawn from a vertex to the opposite side or its extension.
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Angle Bisector
A ray or segment that divides an angle into two congruent angles.
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Perpendicular Bisector
A line or segment that cuts a side of a triangle in half at a 90° angle.
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Centroid
The point where all three medians intersect; divides each median in a 2:1 ratio (vertex to centroid is 2/3 of the median); balance point or center of mass of the triangle.