Conditional Statements

A statement written in the if-then form is a conditional statement.

represents the conditional statement

“if p then q”.

Example :

If two angles are adjacent, then they have a common side.

The part of the statement following if is called the hypothesis, and the part following then is called the conclusion.

Example :

Identify the hypothesis and conclusion of the following statement.

A polygon is a pentagon, if it has five sides.

Hypothesis: The polygon has five sides.

Conclusion: It is a pentagon.