Triangle Centers Review

Front

What is the centroid of a triangle?

Back

The centroid is the point of concurrency of the three medians of a triangle, and it is the center of mass of the triangle.

Front

What are medians in a triangle?

Back

Medians are line segments that connect a vertex of the triangle to the midpoint of the opposite side.

Front

If BF = 10 in triangle ABC, what is AF if CF, BE, and AD are the medians?

Back

AF = 10, because the median divides the opposite side into two equal segments.

Front

What is a perpendicular bisector?

Back

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

Front

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

Back

The circumcenter.

Front

What is the incenter of a triangle?

Back

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

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

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.

Front

What is the circumcenter of a triangle?

Back

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

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.