Introduction to Centroids

Introduction to Centroids

Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

The centroid of a triangle is an important point of concurrency. It is the point where the three medians of the triangle intersect. A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

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

2. A median connects a vertex of a triangle to the   of the opposite side.

3. The centroid divides each median into two segments in a   ratio.

4. If G is the centroid of triangle ABC, and AD is a median, then AG is   of AD.

5. Draw a triangle ABC. Construct all three medians and label the centroid G.

6. The centroid is always located inside the triangle.