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For the given shapes, which one of the following statements is not correct?

Four shapes in a row: a slanting parallelogram, a square, an upright rectangle and a rhombus standing on one corner

  • A.All are parallelograms.
  • B.One of them is not a parallelogram.
  • C.Two of them are rhombuses.
  • D.Two of them are rectangles.

Answer: B

The statement that is not correct is 'One of them is not a parallelogram'.

The four shapes are a slanting parallelogram, a square, a rectangle and a rhombus. A parallelogram is any quadrilateral with both pairs of opposite sides parallel, and squares, rectangles and rhombuses all qualify. So all four are parallelograms, and the claim that one is not is false.

The other statements are correct: all are parallelograms; two are rhombuses (the square and the rhombus, since a square has four equal sides); and two are rectangles (the square and the rectangle, since a square has four right angles).

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