Types of Statements
CONDITIONAL STATEMENTS
Conditional or if-then statements are important in establishing logical arguments. The if-then form can be used to clarify vague statements.
Any statement in the form "If p, then q" is called an implication or a conditional statement. The statement p is called a hypothesis or premise, while the statement q is called its conclusion.
A conditional statement "If p, then q" can be expressed in many forms such as the following: "p implies q," "q if p," "q whenever p," or "q provided p."
Express each statement in if-then form. Identify the hypothesis and the conclusion of each conditional statement.
| 1. | Points on the same line are collinear. |
| 2. | Any two right angles are congruent. |
In writing a statement in if-then form, you need to identify the hypothesis p and the conclusion q.
| 1. | If points lie on the same line, then they are collinear. |
| Hypothesis: Points lie on the same line. | |
| Conclusion: Points are collinear. |
| 2. | If and are right angles, then |
| Hypothesis: and are right angles. | |
| Conclusion: |
