Which of the following is true for a rectangle but NOT for every parallelogram?

Which of the following is true for a rectangle but NOT for every parallelogram?
  1. Opposite sides are parallel
  2. Diagonals bisect each other
  3. Diagonals are equal
  4. Opposite angles are equal

Solution

Both parallelograms and rectangles have parallel opposite sides, equal opposite angles and diagonals that bisect each other. But only rectangles (and squares) have equal diagonals.

Asked in: IMO

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