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Home > CCG > Chapter 3 > Lesson 3.1.2 > Problem 3-23

3-23.

Read the following statements and decide if, when combined, they present a convincing argument. You may need to refer back to your Shape Toolkit as you consider the following statements and decide if the conclusion is correct. Be sure to justify your reasoning.  

Fact #1: A square has four sides of equal length.

Fact #2: A square is a rectangle because it has four right angles.

Fact #3: A rhombus also has four sides of equal length.

Conclusion: Therefore, a rhombus is a rectangle. 

Consider whether or not a rhombus has right angles when evaluating the accuracy of the conclusion.