QQuestionMathematics
QuestionMathematics
Complete the statement using "always," "sometimes," or "never."
A rhombus is ____________ a parallelogram.
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Answer
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Step 1:I'll solve this step by step with clear reasoning:
Step 2:: Understand the Definition of a Rhombus
A rhombus is a quadrilateral with four equal sides. All sides have the same length, but the angles are not necessarily equal.
Step 3:: Understand the Definition of a Parallelogram
A parallelogram is a quadrilateral with opposite sides parallel and equal in length.
Step 4:: Analyze the Relationship Between Rhombus and Parallelogram
Let's consider the properties of a rhombus: - Four equal sides - Opposite sides are parallel - Diagonals bisect each other
Step 5:: Determine the Relationship
These properties mean that a rhombus meets ALL the requirements of a parallelogram: - Opposite sides are parallel - Opposite sides are equal in length
Step 6:: Conclusion
Because a rhombus has ALL the properties of a parallelogram, a rhombus is ALWAYS a parallelogram.
Final Answer
Key Insight: Every rhombus is a special type of parallelogram where all four sides are equal in length.
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