Median Theorem

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

• 4

• 8

• 12

• Not Enough Information

Tags

CCSS.HSG.CO.C.10

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

• one third

• two thirds

• three fourths

• one half

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

• 6

• 12

• 18

• Not Enough Information

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

• 8

• 16

• 24

• Not Enough Information

Tags

CCSS.HSG.CO.C.10

G is the centroid of triangle ABC. BE = 15. Find EG.

• 10

• 5

• 22.5

• 20

Tags

CCSS.HSG.CO.C.10

X is the centroid of the triangle. If AZ = 24, find AX.

• 4

• 8

• 12

• 16

Tags

CCSS.HSG.CO.C.10

X is the centroid of the triangle. If ZX = 3, find AZ.

• 3

• 6

• 9

• 12

Tags

CCSS.HSG.CO.C.10

If DL = 24, then DG = 

• 16

• 8

• 12

• 36

Tags

CCSS.HSG.CO.C.10

A median of a triangle is a segment whose endpoints are a vertex of the triangle and the ____________ of the opposite side.

• centroid

• orthocenter

• midpoint

• incenter

Tags

CCSS.HSG.CO.C.10

The centroid of a triangle is the point where the three __________ are concurrent.

• medians

• altitudes

• centroids

• sides of the triangle

Tags

CCSS.HSG.CO.C.10