Centers of Triangles Vocabulary

Define: CENTROID OF A TRIANGLE

• The intersection point of the three angle  bisectors of a triangle 

• The intersection point of the three medians of a triangle

• The intersection point of the three perpendicular bisectors of a triangle 

• The intersection point of the three altitudes of a triangle

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

• Midsegment

• Incenter

• Circumcenter

• Centriod

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

• Centroid

• Incenter

• Perpendicular Bisectors

• Altitude

The altitudes of a triangle intersect at the _________________________.

• Centriod

• Circumcenter

• Incenter

• Orthocenter

The altitudes of a triangle are concurrent. Their common point is the______.

• Centroid

• Incenter

• Orthocenter

• 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

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

• 6

• 12

• 18

• Not Enough Information

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

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

• medians

• altitudes

• perpendicular bisectors

• angle bisectors