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Home > CCG > Chapter 2 > Lesson 2.2.2 > Problem 2-77


Venn diagram. There are two circles that overlap, left circle labeled, number 1 Rectangle, The right circle labeled, number 2 Has 4 sides of equal length.Daniel and Mike were having an argument about where to place a square in the Venn diagram at right. Daniel wants to put the square in the intersection (the region where the two circles overlap).  

Mike doesn’t think that’s right. “I think it should go in the right region because it is a square, not a rectangle.

But a square IS a rectangle!” protests Daniel. Who is right? Explain your thinking.

Review the definition of a rectangle. Does a square fit this definition?

Daniel is correct because the definition of a rectangle is a quadrilateral with four right angles. Since a square has four sides and four right angles, it must be a rectangle.