Assignment
4

Investigation
1

The
CENTROID (G) of a triangle is the common intersection of the three medians. A
median of a triangle is the segment from a vertex to the midpoint of the
opposite side. Use Geometer's
Sketchpad (GSP) to Construct the **centroid** and explore its
location for various shapes of triangles.

Answer:

Here
we have constructed a triangle, now letÕs find the midpoints of this triangle,

Next,
weÕll construct line segments from each vertex to the midpoint of its opposite
side and the point where each segment intersects is the **centroid**.

So,
letÕs look at the **centroid,** labeled G, of different triangles,

Clearly,
regardless of shape or size, the **centroid** is always in the center of the
triangle.