Review Circumcenter Center Centroid

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

• 6

• 12

• 18

• Not Enough Information

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

• 4

• 8

• 12

• Not Enough Information

Tags

CCSS.HSG.CO.C.10

Mario, Jessica, and Farlene are hanging out on the football field in the form of a triangle. Which point of concurrency would be the same distance between all three of them?

• Circumcenter

• Incenter

• Neither

• Bilateral

Tags

CCSS.HSG.C.A.3

Which point of concurrency is the center of gravity for a triangle?

• Centroid

• Incenter

• Orthocenter

• Circumcenter

Tags

CCSS.HSG.C.A.3

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

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

• DA

• AC

• PC

• PF

Tags

CCSS.HSG.C.A.3

What is the centroid of the following object?

• X=2.5 in, Y=2.5 in

• X=5 in, Y=5 in

• X=1.06 in, Y=2.5 in

• X=1.67 in, Y=1.67 in

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

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

Tags

CCSS.HSG.C.A.3

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