Centroid Theorem

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

• Centroid
• Incenter
• Perpendicular Bisectors
• Altitude

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

• 4
• 8
• 12
• Not Enough Information

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

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

• 8
• 16
• 24
• Not Enough Information

• 11
• 22
• 5.5
• 3.67

Tags

CCSS.HSG.SRT.D.11

If TP=27, ZP=?

• 18

• 9

• 13.5

• 54

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

• 10

• 5

• 22.5

• 20

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

• Medians
• Midsegments
• Perpendicular Bisectors
• Angle Bisectos

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

CCSS.HSG.GPE.B.6