Circumcenter Center and Centroid

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

• Midsegment

• Incenter

• Circumcenter

• Centriod

The place where all three perpendicular bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

If Z is the centroid, what type of segments are drawn?

• angle bisectors

• perpendicular bisectors

• altitudes

• medians

The centroid of a triangle is also known as:

• The Euler point

• The Gergonne point

• The barycenter

• The Nagel point

Which property is true for the circumcenter of a triangle?

• It is always inside the triangle

• It is equidistant from all three vertices of the triangle

• It divides each median into a 2:1 ratio

• It is the center of the inscribed circle

Which of the following is true for the circumcenter of a triangle?

• It may lie inside, on, or outside the triangle

• It is always inside the triangle

• It is always on one of the triangle's sides

• It is always outside the triangle

Which point is the intersection of the perpendicular bisectors of the sides of a triangle?

• Centroid

• Incenter

• Circumcenter

• Orthocenter

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

• 6

• 12

• 18

• Not Enough Information

Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)

• Orthocenter

• Incenter

• Centroid

• Circumcenter

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter