## 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.

1. jim_thompson5910

Original: If P, then Q Converse: If Q, then P

2. jim_thompson5910

notice how P and Q swap places

3. anonymous

yeah

4. anonymous

So A

5. jim_thompson5910

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