Centroids and Circumcenters

Point W is the centroid of the triangle. Solve for x.

• 30

• 7

• 15

• 2

• 4

• 18

• 9

• 27

If DL = 24, then DG = 

• 16
• 8
• 12
• 36

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

• Medians
• Midsegments
• Perpendicular Bisectors
• Angle Bisectos

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

• perpendicular bisectors

• angle bisectors

• medians

• altitudes

What is the special property for circumcenters?

• The circumcenter is equally distant to the sides of the triangle.

• The circumcenter is equally distant to the midpoint of the sides of the triangle.

• The circumcenter is at the center of the triangle.

• The circumcenter is equally distant to the vertices.

The example from the video is shown. What is the measure of GB?

• 6

• 12

• 15

• 20

Match the following

• Angle Bisector

• Incenter

• Perpendicular Bisector

• Orthocenter

• Altitude

• Centroid

• Median

• Circumcenter

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

X is the centroid of the triangle. If CW = 30, find CX.

• 20

• 10

• 30

• 15