Center Circumcenter and Centroid

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

• Midsegment

• Incenter

• Circumcenter

• Centriod

Tags

CCSS.HSG.C.A.3

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Tags

CCSS.HSG.C.A.3

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

• Medians

• Midsegments

• Perpendicular Bisectors

• Angle Bisectos

Tags

CCSS.HSG.CO.C.10

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

• angle bisectors

• perpendicular bisectors

• altitudes

• medians

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC, what is the ratio of BG to GE?

• 2 : 1

• 3 : 2

• 3 : 1

• 2 : 3

Tags

CCSS.HSG.CO.C.10

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

• Centroid

• Incenter

• Circumcenter

• Orthocenter

Tags

CCSS.HSG.C.A.3

The centroid of a triangle is also known as:

• The Euler point

• The Gergonne point

• The barycenter

• The Nagel point

Tags

CCSS.HSG.CO.C.10

Point P is the circumcenter, which segment is equal to PB

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

The centroid of a triangle is known to:

• Always lie on the circumcircle

• Act as the center of gravity for the triangle

• Be equidistant from the sides of the triangle

• Always lie outside the triangle

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.C.A.3