Centers of Triangles

Front

The centroid cuts each median into two segments. The longer segment is ___________ the length of the entire segment.

Back

two thirds

Front

If m∠CAP = 34°, find ∠CAB.

Back

68°

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians

Front

Find the value of x if 2x + 4 = 50.

Back

x=23

Front

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

Back

12

Front

What is the definition of a centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

How many medians does a triangle have?

Back

A triangle has three medians.

Front

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

Back

The centroid divides each median into a ratio of 2:1, with the longer segment being closer to the vertex.

Front

What is a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

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

Back

Centroid (G) = ((x1+x2+x3)/3, (y1+y2+y3)/3).