__Are the medial triangle
similar to the original triangle?__

In this exploration, we will explore triangles and the relationship between certain triangles. First we will construct a triangle and its medians. Then we will draw the medial triangle using GSP. The medial triangle is the triangle formed by the line segments joining the three medians of a triangle.

Let's see if the triangle ABC is similar to triangle DFE. For these two triangles to be similar they would need to meet the following criteria:

* two pairs of corresponding angles are congruent
(therefore the third pair of corresponding angles are also congruent)

* the three pairs of corresponding sides are proportional.

If you would like to explore more about the relationship between the medial triangle and the original triangle, use the GSP link below:

Construction of Medial Triangle