Centroid and Midsegment of a Triangle

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

• Medians
• Midsegments
• Perpendicular Bisectors
• Angle Bisectos

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

• Midsegment
• Incenter
• Circumcenter
• Centriod

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

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

• angle bisector
• midsegment
• altitude
• median

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.

• 30
• 15
• 5
• 7.5

BD is a median of the triangle. Given DC=11, what is the length of AD?

• 11

• 22

• 5.5

• 3.67

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

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

• 12

• 14

• 17

• 21