Converse of a conditional statement

The converse of a conditional statement switches the hypothesis and the conclusion.

Example #1

Conditional statement : If a polygon has four sides, then it is a quadrilateral.

Converse: : If a polygon is a quadrilateral, then, it has four sides.

Converse of a conditional statement

Notice that both the conditional statement and the converse are true.


Example #2

Conditional statement: If you are a vegan, then you do not eat meat.

Converse: If you do not eat meat, then you are a vegan.

Notice that the conditional statement is true, but the converse is false.

The converse is false because may be you eat poultry or seafood.


Example #3

Conditional statement: If you add 5 and and 10, then you get a sum of 15.

Converse: If you got a sum of 15, then you added 5 and 10.

Notice that the conditional statement is true, but the converse is false.

The converse is false because you can also add 4 and 11 to get a sum of 15..

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