Special Segments in Triangles

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

An angle bisector is a ray that divides an angle into two equal angles.

Altitudes can be outside of an obtuse triangle.

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The median divides the opposite side into two segments that are equal in length.

The length of a midsegment is half the length of the side it is parallel to.