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Midsegment
A segment that joins the midpoints of two sides of a triangle.

Perpendicular Bisector
A line, segment, or ray that divides a segment into two equal parts and is perpendicular to the segment.

Angle Bisector
A line, segment, or ray that divides an angle into two equal parts.

Median
A segment that connects a vertex of a triangle to the midpoint of the opposite side.

Altitude
A segment that connects a vertex of a triangle to the opposite side so that it is perpendicular to that side.

Circumcenter
The point at which the three perpendicular bisectors intersect in a triangle.

Incenter
The point at which the three angle bisectors intersect in a triangle.

Centroid
The point at which the three medians intersect in a triangle,

Orthocenter
The point at which the three altitudes intersect in a triangle.