HW 5.3

Front

What is the center of gravity in a triangle?

Back

The centroid is the center of gravity in a triangle, where all three medians intersect.

Front

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

Back

The incenter is the point of concurrency for the angle bisectors of a triangle.

Front

What is the point of concurrency for the altitudes of a triangle?

Back

The orthocenter is the point of concurrency for the altitudes of a triangle.

Front

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

Back

The circumcenter is the point of concurrency for the perpendicular bisectors of a triangle.

Front

Define centroid.

Back

The centroid is the point where the three medians of a triangle intersect.

Front

Define incenter.

Back

The incenter is the point where the three angle bisectors of a triangle intersect.

Front

Define orthocenter.

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

Define circumcenter.

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect.

Front

What is a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

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