Abstract

If Dr. Seuss can touch millions of hearts with his Cat in the Hat, then geometry teachers should be able to tickle the brains of high school students with this “triangle in the bag.” On the first day of our triangle-congruence chapter, I challenge my geometry students to duplicate the triangular shape that I have hidden in a brown paper bag. Their assignment is to silently write questions about the unseen triangle, raise their hands, and seek written answers from me. This investigative approach to congruence leads to amazing results in a short period of time.

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