8.3 Medians and Altitudes of Triangles

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians

Front

What is the measure of ∠HKG if HK is an altitude in ΔGHI?

Back

90°

Front

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

Back

Circumcenter

Front

If G is the centroid of triangle ABC and AC= 32, what is the length of CE?

Back

16

Front

If GT is a Median, find FE.

Back

16

Front

What is a median in a triangle?

Back

A median is a line segment joining 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.

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

How many medians does a triangle have?

Back

A triangle has three medians.

Front

What is the circumcenter of a triangle?

Back

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