Centers of Triangles

Given:  AG = 10, find the length of BG.

• 10

• 20

• 5

• 30

The orthocenter is the intersection of the ______________.

• Medians

• Perpendicular Bisectors

• Altitudes

• Angle Bisectors

The centroid is the intersection of the ________________.

• Medians

• Perpendicular Bisectors

• Altitudes

• Angle Bisectors

AD = 12. Find AG

• 6

• 8

• 18

• 12

BE = 15. Find EG.

• 10

• 5

• 22.5

• 20

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

• Centroid

• Incenter

• Circumcenter

• Orthocenter

If G is the circumcenter, what type of segments are drawn?

• perpendicular bisectors

• angle bisectors

• altitudes

• centroids

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

• 4

• 8

• 12

• 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

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

• 6

• 12

• 18

• Not Enough Information