You are a mathematics teacher at a high school. You are helping a colleague prepare to teach honors

You are a mathematics teacher at a high school. You are helping a colleague prepare to teach honors geometry courses next year. Write up a recommendation for a mathematics topic that will show multiple perspectives of geometry for your colleague to teach.
A. Explain a geometry problem that can be viewed from the perspectives of coordinate systems, transformations, and vectors.
1. Provide a fully detailed answer key for the coordinate systems perspective on the problem.
2. Provide a fully detailed answer key for the transformation perspective on the problem.
3. Provide a fully detailed answer key for the vector perspective on the problem.