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

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

• 4

• 6

• 8

• Not Enough Information

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

• 6

• 8

• 12

• 14

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

• 8

• 10

• 12

• 16

The three altitudes of a triangle intersect at the?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

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

• 12

• 14

• 17

• 21

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

What type of special segments are being used?

• Perpendicular Bisectors

• Angle Bisectors

• Medians

• Altitudes

What is the point of concurrency?

• Orthocenter

• Centroid

• Circumcenter

• Incenter

Which of the following words describes the point shown in the figure?

• Centerpoint

• Orthocenter

• Centroid

• Midpoint