6.3 Centroid

Front

What is the centroid of a triangle?

Back

The centroid of a triangle is the point where the three medians intersect, and it is the center of mass of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

How is the centroid related to the vertices of a triangle?

Back

The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

If BP = 10, what is the length of BL if P is the centroid?

Back

15

Tags

CCSS.HSG.CO.C.10

Front

If BL = 42, what is the length of BP if P is the centroid?

Back

28

Tags

CCSS.HSG.CO.C.10

Front

If BL = 42, what is the length of PL if P is the centroid?

Back

14

Tags

CCSS.HSG.CO.C.10

Front

If PY = 7, what is LY?

Back

21

Tags

CCSS.HSG.CO.C.11

Front

The centroid of a triangle is ____________ of the distance from each vertex to the midpoint of the opposite side.

Back

two-thirds

Tags

CCSS.HSG.CO.C.10

Front

What is the formula to find the centroid of a triangle given its vertices (x1, y1), (x2, y2), (x3, y3)?

Back

The centroid (G) can be found using the formula G = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

Tags

CCSS.HSG.C.A.3

Front

What is a median in a triangle?

Back

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

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Tags

CCSS.HSG.CO.C.10