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anonymous

  • one year ago

If a polygon is a square, then it is a quadrilateral. What is the converse of this conditional statement? A. If a quadrilateral is a square, then it is a polygon. B. If a polygon is a quadrilateral, then it is a square. C. If a polygon is not a quadrilateral, then it is not a square. D. If a polygon is not a square, then it is not a quadrilateral.

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  1. jim_thompson5910
    • one year ago
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    Original: `If P, then Q` Converse: `If Q, then P`

  2. jim_thompson5910
    • one year ago
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    notice how P and Q swap places

  3. anonymous
    • one year ago
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    yeah

  4. anonymous
    • one year ago
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    So A

  5. jim_thompson5910
    • one year ago
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    \[\Large \text{If} \text{ a polygon is a square}, \text{then} \text{ it is a quadrilateral}\] \[\Large \text{If} \color{red}{\text{ a polygon is a square}}, \text{then} \color{blue}{\text{ it is a quadrilateral}}\] \[\Large \text{If} \color{red}{\text{ P}}, \text{then} \color{blue}{\text{ Q}}\] \[\Large \text{If} \color{blue}{\text{ Q}}, \text{then} \color{red}{\text{ P}}\] \[\Large \text{If} \color{blue}{\text{ it is a quadrilateral}}, \text{then} \color{red}{\text{ a polygon is a square}}\] The swap doesn't go 100% smoothly in terms of being grammatically correct, but hopefully that made sense.

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