5.4 Medians and Altitudes of Triangles

Front

What is the INCENTER of a triangle?

Back

The INCENTER is the intersection of the angle bisectors of a triangle.

Front

What are the medians of a triangle?

Back

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

Front

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

Back

AF = 10.

Front

Which segment connects the vertex of a triangle to the midpoint of the opposite side?

Back

A median.

Front

If BE = 15 in triangle ABC, what is EG if G is the centroid?

Back

EG = 5.

Front

What is the centroid of a triangle?

Back

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

Front

If G is the centroid and BE = 18, what is the length of BG?

Back

BG = 12.

Front

What is the relationship between the lengths of segments created by the centroid on a median?

Back

The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex perpendicular to the line containing 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 connects a vertex to the opposite side at a right angle.