QQuestionMathematics
QuestionMathematics
How many pairs of parallel sides does a rhombus have?
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Answer
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Step 1:I'll solve this problem step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Understand the Definition of a Rhombus
A rhombus is a quadrilateral with four equal-length sides. To determine the number of parallel sides, we need to analyze its geometric properties.
Step 3:: Examine the Sides of a Rhombus
In a rhombus, all four sides have equal length. This means that opposite sides are always parallel to each other.
Step 4:: Count the Parallel Sides
- The side opposite the first side is parallel to it - This means the first and third sides are parallel - Similarly, the second and fourth sides are parallel
Step 5:: Quantify the Parallel Sides
\text{Number of Parallel Side Pairs} = 2
Final Answer
Key Insights: - The parallel sides are always opposite each other - This is a unique property of rhombuses and parallelograms - The parallel sides are equal in length
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