Please help us welcome speaker Jonathan Brown, Mathematics Department of the University of Dayton, Ohio.
Topic: Move Over SAS
High school geometry is littered with triangle congruence theorems: Side-Angle-Side, Side-Side-Side, etc. Is that the end of the story? Are there any congruence theorems using other measurements of a triangle, like area and perimeter?
It is well known that two triangles can have the same area and different perimeters or the same perimeter and different areas, but what about triangles that have the same area and the same perimeter: must they be congruent?
An elementary education student asked me this question and it lead me on quest exploring such topics as triangle growth and transformational geometry.
In this talk, I will share some of these explorations and pose some new questions.