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16 October, 13:54

Which description does NOT guarantee that a quadrilateral is a square? a) It is both a rectangle and rhombus. b) It is a parallelogram with perpendicular diagonals. c) All of its sides are congruent, and all of its angles are congruent. d) It has all right angles, and all of its sides are congruent.

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  1. 16 October, 14:03
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    A. It is both a rectangle and rhombus.
  2. 16 October, 17:49
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    The correct answer is:

    B) It is a parallelogram with perpendicular diagonals.

    Explanation:

    A parallelogram whose diagonals are perpendicular is a rhombus or a square. If there is no information about the angles of the quadrilateral, we cannot say for certainty that it is a square.
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