Medians and Centroids

Front

What are the segments drawn from the vertices to the midpoints of the opposite sides in a triangle called?

Back

Medians

Front

What is the point of concurrency where the three medians of a triangle intersect?

Back

Centroid

Front

What type of segment is a median in a triangle?

Back

A segment that connects a vertex to the midpoint of the opposite side.

Front

If G is the centroid of triangle ABC and AG = 16, what is the length of GD?

Back

8

Front

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

Back

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

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a right angle.

Front

What is an altitude in a triangle?

Back

A segment from a vertex perpendicular to the line containing the opposite side.

Front

What is the difference between a median and an altitude in a triangle?

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.

Front

What is the definition of a centroid?

Back

The point where the three medians of a triangle intersect.

Front

How many medians does a triangle have?

Back

Three, one from each vertex.