Reflect a point over a horizontal line

I gave a challenge to my geometry kids… You have a point (x,y) and you want to reflect it over the line y=k. What are the coordinates of the reflected point?

I loved watching them work in class, work on it at home, and come to class, with their thoughts. Here are some snapshots of their work:

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A student just stopped by the math office to excitedly ask me if she could explore something she has been wondering about for years, for her explore math project. The fact that she was so charged/pumped made me excited about this project!

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