Question

drag the tiles to the boxes to form correct pairs. not all tiles will be used.
determine which statements are the converse, inverse, and contrapositive of the following statement.
if a figure is a square, it is a polygon.
if a figure is a square, it is not a polygon. if a figure is not a polygon, it is not a square.
if a figure is a polygon, it is a square. if a figure is a polygon, it is not a square.
if a figure is not a square, it is not a polygon.
contrapositive
converse
inverse

Explanation:

1. Original Statement: Let the original statement be "If $P$, then $Q$", where $P$ = "a figure is a square", $Q$ = "it is a polygon".
2. Contrapositive: Follows the form "If not $Q$, then not $P$". This swaps and negates both parts of the original statement.
3. Converse: Follows the form "If $Q$, then $P$". This swaps the hypothesis and conclusion of the original statement.
4. Inverse: Follows the form "If not $P$, then not $Q$". This negates both parts of the original statement without swapping.

Answer:

• Contrapositive → If a figure is not a polygon, it is not a square.
• Converse → If a figure is a polygon, it is a square.
• Inverse → If a figure is not a square, it is not a polygon.