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Rahul says: 'Every rectangle is a parallelogram, but not every parallelogram is a rectangle.'
Is his statement correct, and why?

Class 8Properties of QuadrilateralsGeometry
  • ACorrect, because a rectangle has both pairs of opposite sides parallel, while a parallelogram need not have 90° angles
  • BWrong, because rectangles are not parallelograms
  • CWrong, because all parallelograms are rectangles
  • DCorrect, because both shapes have all four sides equal

Step-by-Step Solution

A rectangle satisfies the parallelogram condition (opposite sides parallel), but a parallelogram lacks the 90° requirement.
Answer: A) Correct, because a rectangle has both pairs of opposite sides parallel, while a parallelogram need not have 90° angles

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