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A carpenter makes a door frame whose opposite sides are equal. Which single check confirms that all its corners are right angles?

Class 9Rectangle, Rhombus and SquareGeometry — Quadrilaterals
  • AOne side is longer than the other
  • BThe diagonals cross at the middle
  • CBoth diagonals have the same length
  • DOpposite sides are parallel

Step-by-Step Solution

Equal opposite sides make it a parallelogram; a parallelogram with equal diagonals is a rectangle. Bisecting diagonals and parallel sides are true of every parallelogram, so they prove nothing extra.
Answer: C) Both diagonals have the same length

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