Question

matching 3 points. for the statement \if a polygon has 6 sides, then it is a hexagon,\ identify the following: converse, inverse, contrapositive

Explanation:

The converse of a conditional statement "If p, then q" is "If q, then p". The inverse is "If not p, then not q". The contrapositive is "If not q, then not p". For the statement "If a polygon has 6 sides, then it is a hexagon", where p = "a polygon has 6 sides" and q = "it is a hexagon":

• Converse: If it is a hexagon, then a polygon has 6 sides.
• Inverse: If a polygon does not have 6 sides, then it is not a hexagon.
• Contrapositive: If it is not a hexagon, then a polygon does not have 6 sides.

Answer:

Converse: If it is a hexagon, then a polygon has 6 sides.
Inverse: If a polygon does not have 6 sides, then it is not a hexagon.
Contrapositive: If it is not a hexagon, then a polygon does not have 6 sides.