Medians and Altitudes of Triangles

A median of a triangle is a segment whose endpoints are a vertex of the triangle and the ____________ of the opposite side.

• centroid

• orthocenter

• midpoint

• incenter

Tags

CCSS.HSG.CO.C.10

An altitude of a triangle is a ____________ segment from a vertex to the line containing the opposite side.

• partial

• perpendicular

• median

• concurrent

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.D.9

The centroid of a triangle is the point where the three __________ are concurrent.

• medians

• altitudes

• centroids

• sides of the triangle

Tags

CCSS.HSG.CO.C.10

The orthocenter of a triangle is the point where the three ____________ are concurrent.

• medians

• altitudes

• incenters

• circumcenters

Tags

CCSS.HSG.CO.C.10

CENTROID THEOREM

“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 SV?

• 7

• 14

• 21

• 28

Tags

CCSS.HSG.CO.C.10

CENTROID THEOREM

“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

Tags

CCSS.HSG.CO.C.10

CENTROID THEOREM

“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

Tags

CCSS.HSG.CO.C.10

CENTROID THEOREM

“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

Tags

CCSS.HSG.CO.C.10