Properties of Medians

What is a median of a triangle?

• A median of a triangle is a line segment that connects a vertex of the triangle to the opposite vertex.

• A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the adjacent side.

• A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

• A median of a triangle is a line segment that connects two vertices of the triangle.

Tags

CCSS.HSG.CO.C.10

How many medians does a triangle have?

• 3

• 4

• 1

• 2

Tags

CCSS.HSG.CO.C.10

In an equilateral triangle, what is the length of each median?

• Half the length of the corresponding side

• Three times the length of the corresponding side

• 2 times the length of the corresponding side

Tags

CCSS.HSG.CO.C.10

True or False: The medians of a triangle always intersect at a single point.

• Sometimes

• False

• True

• Only in equilateral triangles

Tags

CCSS.HSG.CO.C.10

What is the name of the point where the medians of a triangle intersect?

• centroid

• circumcenter

• incenter

• orthocenter

Tags

CCSS.HSG.CO.C.10

What is the ratio of the length of a median to the length of the corresponding side in an equilateral triangle?

• 2:1

• 1:2

• 3:1

• 4:1

Tags

CCSS.HSG.CO.C.10

True or False: The medians of a triangle divide the triangle into six smaller triangles.

• False

• True for isosceles triangles only

• True

• True for equilateral triangles only

Tags

CCSS.HSG.CO.C.10

What is the relationship between the medians and the centroid of a triangle?

• The medians of a triangle intersect at the centroid.

• The medians of a triangle intersect at the circumcenter.

• The medians of a triangle do not intersect at the centroid.

• The centroid of a triangle is located at one of the vertices.

Tags

CCSS.HSG.CO.C.10

True or False: The medians of a triangle are always equal in length.

• Sometimes true, sometimes false

• False

• True

• The medians of a triangle are not a thing

Tags

CCSS.HSG.CO.C.10