FTCE Professional Education Practice Exam

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Which statement is true about parallelograms and rhombuses?

  1. Some parallelograms are rhombuses

  2. All parallelograms are rhombuses

  3. No parallelograms are rhombuses

  4. Only some larger parallelograms are rhombuses

The correct answer is: Some parallelograms are rhombuses

The statement that some parallelograms are rhombuses is true because a rhombus is a specific type of parallelogram characterized by having all four sides of equal length. Therefore, every rhombus is inherently a parallelogram since it satisfies all the properties of a parallelogram, which include having opposite sides that are equal and parallel. However, not all parallelograms are rhombuses; parallelograms can have unequal side lengths, making them distinct from rhombuses. The correct statement recognizes this relationship accurately by acknowledging that while not all parallelograms qualify as rhombuses, there are indeed some, specifically those with equal side lengths, that are categorized as such.

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