Median & Centroid

Front

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

Back

Centroid

Front

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

Back

8

Front

The figure is an example of a(n) ...

Back

median

Front

Which of the following words describes the point shown in the figure? A. Centerpoint, B. Orthocenter, C. Centroid, D. Midpoint

Back

C. Centroid

Front

Find the centroid of the triangle with vertices A(-6, 1), B(-1, 4), C(1, -2)

Back

(-2, 1)

Front

Define the centroid of a triangle.

Back

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

Front

What is a median in a triangle?

Back

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

Front

How do you calculate the centroid of a triangle with vertices (x1, y1), (x2, y2), (x3, y3)?

Back

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

Front

What is the relationship between the lengths of the segments created by the centroid on a median?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the balance point of the triangle, where it would balance perfectly if made of a uniform material.