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20 August, 09:58

which of the following statements is never true? A. a rectangle is a parallelogram. B. a square is a rhombus. C. a parallelogram is a rhombus and D. A trapezoid is a rectangle.

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  1. 20 August, 10:50
    0
    D). A Trapezoid is a rectangle

    Explanation:

    A Trapezoid can never be a rectangle. As a Trapezoid is a quadrilateral with at least two parallel sides but do not have all of its sides at right angles like rectangle which is a major difference between a trapezoid and a rectangle.

    A rectangle is a quadrilateral with opposite sides equal and parallel, also all of its sides are at right angles with each other i. e 90 degree.

    A parallelogram is a quadrilateral with opposite sides parallel.

    A square can be a rhombus but a rhombus cannot be a square as a square has all of its sides at right angles which is not necessary in case of a rhombus.

    Also, a parallelogram can be a rhombus but a rhombus is always a parallelogram.

    Thus, option (D) can never be true in any case.
  2. 20 August, 11:28
    0
    D. A trapezoid is a rectangle. A trapezoid does not have two sets of parallel sides
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