KAP Geometry: Special Segments in Triangles

Front

What is a median in a triangle?

Back

A segment with endpoints at the vertex and midpoint of the opposite side.

Front

What segments are drawn from the centroid of a triangle?

Back

Medians.

Front

What is the point of concurrency where the three perpendicular bisectors of a triangle meet?

Back

Circumcenter.

Front

How do you order the sides of a triangle from least to greatest?

Back

By comparing their lengths.

Front

What is the definition of a centroid?

Back

The point where the three medians of a triangle intersect.

Front

What is the definition of an altitude in a triangle?

Back

A segment from a vertex perpendicular to the opposite side.

Front

What is the difference between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side.

Front

What is the circumcenter of a triangle?

Back

The point where the three perpendicular bisectors intersect.

Front

What is the incenter of a triangle?

Back

The point where the three angle bisectors intersect.

Front

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

Back

The centroid divides each median into a ratio of 2:1.