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15 March, 22:45

Let p: The shape is a rhombus. Let q: The diagonals are perpendicular. Let r: The sides are congruent. Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?

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  1. 15 March, 23:01
    0
    Given that p represents "The shape is a rhombus", q represents "The diagonals are perpendicular", and r represents "The sides are congruent".

    "if and only if" is represented using the biconditional logic operator (↔) and "and" is represented using the logical conjuction operator (∧).

    Therefore, "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent" is represented by "p ↔ (q ∧ r)"
  2. 15 March, 23:04
    0
    It seems like the answer is C
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