Centroid Practice

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

If G is the centroid of triangle ABC and GE = 7, what is the length of BE?

Back

21

Tags

CCSS.HSG.CO.C.10

Front

If G is the centroid of triangle ABC and GF = 4, what is the length of GC?

Back

8

Tags

CCSS.HSG.CO.C.10

Front

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

Back

Medians

Tags

CCSS.HSG.CO.C.10

Front

If ZX = 3 and X is the centroid, what is the length of AZ?

Back

9

Tags

CCSS.HSG.CO.C.10

Front

Which of the following describes the point shown in the figure? A. Centerpoint, B. Orthocenter, C. Centroid, D. Midpoint

Back

C. Centroid

Tags

CCSS.HSG.C.A.3

Front

What is a median in a triangle?

Back

A median is a line segment joining a vertex of the triangle to the midpoint of the opposite side.

Front

How many medians does a triangle have?

Back

A triangle has three medians.

Tags

CCSS.HSG.CO.C.10

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 vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

If the length of a median is 12, what is the length of the segment from the centroid to the midpoint of the opposite side?

Back

4

Tags

CCSS.HSG.CO.C.10