Question 3b

By Krista Floer

Where might his starting point be so that the path would create congruent triangles?

In Proof 1, we can see that the corner triangles are always congruent. We still need to show that all the triangles are congruent in certain cases.

First, we are going to prove that all the triangles are congruent when Barney starts at the midpoint.

Now we are going to prove that all the triangles are congruent when Barney starts at the trisection.

Thus we can see that in order to have all congruent triangles, the starting point has to be either a trisection point or a midpoint.