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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.

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Presentation Transcript
slide2

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.

writing a conditional statement
Writing a conditional statement:

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

writing a conditional statement1
Writing a conditional statement
  • Writing the following statements in if-then form.

Two angles that make a linear pair are supplementary.

All 90o angles are right angles.

vocabulary
Vocabulary
  • The negation of a statement is the opposite of the original.
negation
Negation
  • Negate the following statements.

The ball is red.

The cat is not black.

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Definitions: Inverse, Converse, Contrapositive

  • 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.
writing statements
Writing statements
  • 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?

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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
Biconditional Statement
  • Write the following conditional statement as a biconditional statement.
  • If two lines intersect to form a right angle, then they are perpendicular.
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