Centroids and Circumcenters

“The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side.”

If RS = 21, what is the length of RV?

• 7

• 14

• 21

• 28

“The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side.”

If VT = 5, how long is VP?

• 5

• 10

• 15

• 20

“The centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side.”

If VT = 5, how long is TP?

• 5

• 10

• 15

• 20

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

• DA

• AC

• PC

• PF

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

The centroid of a triangle is also known as:

• The Euler point

• The Gergonne point

• The barycenter

• The Nagel point

centroids are created by?

• perpendicular bisectors

• medians

• angle bisectors

• altitudes

what is a centroid?

• Point of concurrency of angle bisectors

• point of concurrency of perpendicular bisectors

• point of concurrency of the altitudes

• Point of concurrency of the medians

circumcenters are created by?

• Angle bisectors

• perpendicular bisectors

• medians

• altitudes

What is a circumcenter?

• a point of concurrency of the perpendicular bisectors

• point of concurrency of the angle bisector

• point of concurrency of the medians

• points of concurrency of the altitudes