Marking centroid of a triangle

This is a hands on activity to explore concurrent lines formed in a triangle when vertices are joined to the midpoints of the opposite side.

Objectives
Introduce medians of a triangle

Estimated Time
30 minutes.

Prerequisites/Instructions, prior preparations, if any
Triangle basics should have been covered.

Materials/ Resources needed
Non digital: Wax paper, pencil and ruler.

Process (How to do the activity)

 * 1) On the piece of wax paper, use your pencil and ruler to draw a triangle.
 * 2) Draw different types of triangles: Acute, Obtuse, or Right angled triangle.
 * 3) Choose 1 side of your triangle. Fold your paper so that the endpoints of the side you’ve chosen are overlapping.  Make a very small crease through the side of the triangle.  This is the midpoint of the side.
 * 4) Fold a crease in the triangle from this midpoint to the opposite vertex. You have now constructed the MEDIAN of one side of the triangle.
 * 5) Use the same process to construct a median for the other two sides of the triangle.
 * 6) What do you notice about their intersection point? The intersection point is called the centroid.
 * Developmental Questions:
 * 1) Where does the median lie in case of acute, obtuse and right triangles ?
 * 2) Identify the centroid.
 * 3) Into how many parts does the centriod divide the median ?
 * 4) Compare your triangle and results to your partners.
 * 5) Is centriod exactly in the middle of the median ?
 * Evaluation:
 * 1) Where exactly does the centroid lie on each median ?
 * Question Corner
 * 1) What is the position of the centroid in different types of triangles?