Medians and Centroid with Coordinates

A centroid is formed by the point of concurrency of three __________ of a triangle.

• altitudes

• medians

• perpendicular bisectors

• angle bisectors

Tags

CCSS.HSG.CO.C.10

A centroid breaks the median of a triangle into a ________ ratio.

• 1:1

• 2:1

• 3:1

• 4:1

Tags

CCSS.HSG.CO.C.10

If point B is the centroid and BC = 12, what is the length of AB?

• 12

• 8

• 6

• 4

Tags

CCSS.HSG.CO.C.10

The centroid is the point where the ________ meet in a triangle.

• medians

• angle bisectors

• perpendicular bisectors

• sides

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

Which of the following words describes the point shown in the figure?

• Centerpoint

• Orthocenter

• Centroid

• Midpoint

Tags

CCSS.HSG.CO.C.10

The point where the medians intersect is called the ___.

• incenter

• circumcenter

• centroid

• orthocenter

Tags

CCSS.HSG.CO.C.10

What point of concurrency is shown here?

• centroid

• incenter

• circumcenter

• altitude

Tags

CCSS.HSG.CO.C.10

The _____________ connects a midpoint of a side in a triangle to the opposite vertex.

• median

• altitude

• angle bisector

• perpendicular bisector

The centroid cuts the median into sections that are 1/3 the total length and ________ the total length.

• 2/3

• 1/3

• 1/2

• 2 times

Tags

CCSS.HSG.CO.C.10