FTCE Professional Education Practice Exam

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Which of the following statements is true regarding the relationship between rhombuses and squares?

  1. Some rhombuses are squares

  2. All rhombuses are squares

  3. No rhombuses are squares

  4. All squares are rhombuses

The correct answer is: Some rhombuses are squares

The correct statement regarding the relationship between rhombuses and squares is that some rhombuses are squares. This is because a square is a specific type of rhombus that not only has all four sides of equal length but also has the additional property of having all four angles equal to 90 degrees. Therefore, while every square is indeed a rhombus, not every rhombus meets the criteria to be considered a square, as it may have equal sides but not necessarily the right angles. In summary, since the definition of a rhombus encompasses a broader category that includes squares, the statement that some rhombuses are squares accurately reflects the relationship between the two shapes.

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