Identifying Centers of Triangles

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

• 6

• 12

• 18

• Not Enough Information

The centroid is the point of concurrency of the 3 ____ of a triangle. 

• Medians

• Midsegments

• Perpendicular Bisectors

• Angle Bisectos

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

• one third

• two thirds

• three fourths

• one half

Find the value of x

• x=28

• x=14

• x=23

• x=46

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

• 7

• 14

• 21

• Not Enough Informaion

Point O is the circumcenter of the triangle. Find OB

• OB = 4

• OB = 6

• OB = 5.1

• Not enough information

J is the centroid of triangle DEF. What is the length of JD?

• 32

• 38

• 30

• 36

The circumcenter is the point at which all the _____ of a triangle meet.

• medians

• altitudes

• perpendicular bisectors

• angle bisectors

H is the circumcenter of triangle BCD. What is the length of GD?

• 29

• 26

• 32

• 24

H is the circumcenter of triangle BCD. What is the length of BH?

• 26

• 32

• 33

• 42