Circumcenter, Incenter, Centroid, Orthocenter

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 GF= 4. Find the length of GC.

• 4

• 6

• 8

• Not Enough Information

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

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

• angle bisector
• midsegment
• altitude
• median

What type of point of concurrency is pictured?

• Circumcenter

• Centroid

• Incenter

• Orthocenter

The three altitudes of a triangle intersect at the?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

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

• altitude 
• perpendicular bisector
• midsegment
• angle bisector

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither

Find the length of PO.

• 32
• 35
• 26
• 29