1 / 10

# Conditional Statements - PowerPoint PPT Presentation

Conditional Statements. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is logical statement that has two parts: The hypothesis is the “if” part of the conditional statement. The conclusion is the “then” part of the conditional statement.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Conditional Statements' - brand

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Conditional Statements

A conditional statement is logical statement that has two parts:

The hypothesis is the “if” part of the conditional statement.

The conclusion is the “then” part of the conditional statement.

The hypothesis tells you what you are talking about, and the conclusion describes the hypothesis.

• Writing the following statements in if-then form.

Two angles that make a linear pair are supplementary.

All 90o angles are right angles.

• The negation of a statement is the opposite of the original.

• Negate the following statements.

The ball is red.

The cat is not black.

• The inverse of a conditional statement negates the hypothesis and conclusion

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

• The contrapositive of a conditional statement takes the inverse of the converse.

• Write the inverse, converse and contrapositive of the conditional statement:

“If two angles form a linear pair, then they are supplementary.”

Which statements are always true?

Definition: Biconditional:

If a conditional statement and its converse are both true, then we can write it as a biconditional statement by using the phrase if and only if instead of putting it in if-then form.

Biconditional Statement

• Write the following conditional statement as a biconditional statement.

• If two lines intersect to form a right angle, then they are perpendicular.