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A diagonal of a parallelogram is 26 cm. A student wrote that this diagonal alone determines the parallelogram is a rectangle.
Why is the student wrong?

Class 9Properties of a ParallelogramGeometry — Quadrilaterals
  • AA rectangle needs BOTH diagonals equal, not one diagonal's length
  • BDiagonals of a rectangle are never 26 cm
  • CA diagonal cannot be longer than a side
  • DParallelograms have no diagonals

Step-by-Step Solution

Knowing one diagonal's length says nothing about equality of the two diagonals, which is the rectangle condition.
Answer: A) A rectangle needs BOTH diagonals equal, not one diagonal's length

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