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Is a quadrilateral always a parallelogram?\newlineChoices:\newline(A) yes\newline(B) no

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Classify quadrilaterals IIright chevron icon

Full solution

Q. Is a quadrilateral always a parallelogram?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define quadrilateral: Step 11: Define a quadrilateral.\newlineA quadrilateral is any four-sided figure. It includes various shapes like squares, rectangles, trapezoids, and parallelograms.
  2. Define parallelogram: Step 22: Define a parallelogram.\newlineA parallelogram is a specific type of quadrilateral where opposite sides are parallel and equal in length.
  3. Compare properties: Step 33: Compare properties.\newlineNot all quadrilaterals have opposite sides that are parallel and equal. For example, a trapezoid has only one pair of parallel sides, which disqualifies it from being a parallelogram.
  4. Conclusion: Step 44: Conclusion based on properties.\newlineSince some quadrilaterals like trapezoids do not meet the criteria for parallelograms, it's clear that not all quadrilaterals are parallelograms.

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