Special Triangle Vocabulary (Ch. 5)

Front

What is the point of concurrency of the angle bisectors in a triangle?

Back

Incenter

Front

What is a segment from the vertex that is perpendicular to the opposite side or to the line containing the opposite side called?

Back

Altitude

Front

What is the point of concurrency of the perpendicular bisectors of a triangle?

Back

Circumcenter

Front

What is a segment in a triangle connecting two midpoints called?

Back

Midsegment

Front

What is the definition of an incenter in a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

What is the definition of an altitude in a triangle?

Back

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

Front

What is the definition of a circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from all three vertices.

Front

What is the definition of a midsegment in a triangle?

Back

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

Front

How many altitudes can be drawn in a triangle?

Back

Three, one from each vertex.

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all three sides of the triangle.