Geometry Centroid Orthocenter

Which of the following points is the BALANCE POINT of a triangle. The correct method is shown in the triangle if you look at the markings.

• Circumcenter

• Orthocenter

• Centroid

• Midpoint

Tags

CCSS.HSG.CO.C.10

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

• 4

• 6

• 8

• 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

• 10

• 12

• 16

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

• 12

• 14

• 17

• 21

Tags

CCSS.HSG.CO.C.10

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

*there is a 2:1 ratio from the vertex to the midpoint

(a)  

Tags

CCSS.HSG.CO.C.10

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

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

(a)  

Tags

CCSS.HSG.CO.C.10

BD is a median of the triangle. Given DC=11, what is the length of AD?

• 11

• 22

• 5.5

• 3.67

Tags

CCSS.HSG.CO.C.10

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

• 6

• 8

• 12

• 14

Tags

CCSS.HSG.CO.C.10

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

• one third

• two thirds

• three fourths

• one half

Tags

CCSS.HSG.CO.C.10