A geometry student named Cornell claims that the two triangles in the diagram below are similar to one another. He asserts that the LMN is similar to STU because the sides on the bigger triangle are spaced the same as the sides of the smaller triangle. Explain why Cornell is mistaken in his conclusions about LMN and STU. In writing your response, be sure to explain the concept of proportionality. Also be sure to include important math vocabulary such as
similarity, corresponding sides, and ratios.