How Many Squares?

Directions: How many squares are shown in the diagram below?


What makes a square a square?


5 squares.  The interesting part about this problem is the vocabulary and parallelogram theorems involved in counting and proving what is a square.

Source:  This problem was found in the Fifth Edition Elementary Geometry for College Students by Alexander and Koeberlein

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  1. Love this problem. Though I’m already predicting some students will count the right angle symbol as an additional square (and I think they might be right about that).

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