Question

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.

Answer 1

Original:

`If P, then Q`

Converse:

`If Q, then P`

Answer 2

notice how P and Q swap places

Answer 3

yeah

Answer 4

So A

Answer 5

\[\Large \text{If} \text{ a polygon is a square}, \text{then} \text{ it is a quadrilateral}\]
\[\Large \text{If} \color{red}{\text{ a polygon is a square}}, \text{then} \color{blue}{\text{ it is a quadrilateral}}\]
\[\Large \text{If} \color{red}{\text{ P}}, \text{then} \color{blue}{\text{ Q}}\]
\[\Large \text{If} \color{blue}{\text{ Q}}, \text{then} \color{red}{\text{ P}}\]
\[\Large \text{If} \color{blue}{\text{ it is a quadrilateral}}, \text{then} \color{red}{\text{ a polygon is a square}}\]

The swap doesn't go 100% smoothly in terms of being grammatically correct, but hopefully that made sense.