Special Segments of Triangles -Always, Sometimes, Never

The median of a triangle includes the vertex.

• Always

• Sometimes

• Never

The perpendicular bisector of a triangle includes the vertex.

• Always

• Sometimes

• Never

The orthocenter of an obtuse triangle is inside the triangle.

• Always

• Sometimes

• Never

The perpendicular bisector and the altitude are the same line.

• Always

• Sometimes

• Never

The altitude of a triangle is outside of the triangle.

• Always

• Sometimes

• Never

The angle bisector starts at the vertex and cuts the opposite segment into two congruent pieces.

• Always

• Sometimes

• Never

The altitude of a triangle starts at the vertex, but does not bisect the opposite side of the triangle.

• Always

• Sometimes

• Never

The centroid is inside the triangle.

• Always

• Sometimes

• Never

Right Triangles have only one altitude and that altitude is the right angle.

• Always

• Sometimes

• Never

The median and the perpendicular bisectors are the only special segments that include the midpoint.

• Always

• Sometimes

• Never