Centroid and 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.

• A. Circumcenter

• B. Orthocenter

• C. Centroid

• D. Midpoint

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 GF= 4. Find the length of GC.

• 4

• 6

• 8

• Not Enough Information

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.6

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

CCSS.HSG.GPE.B.6

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

CCSS.HSG.GPE.B.6

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

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

CCSS.HSG.GPE.B.6

The centroid is the intersection point where the 3 ____ of a triangle.

• Medians

• Midsegments

• Perpendicular Bisectors

• Angle Bisectors

Tags

CCSS.HSG.CO.C.10

The figure is an example of a(n) ...

• angle bisector
• midsegment
• altitude
• median

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.D.12

Which center points of a triangle are always inside the triangle?

• Centroid and Circumcenter

• Orthocenter and Incenter

• Incenter and Centroid

• Circumcenter and Incenter

Tags

CCSS.HSG.CO.C.10