Mrs. Kim's Conditional Statements

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What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (p) and a conclusion (q), typically expressed in the form "If p, then q."

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What is the converse of a conditional statement?

Back

The converse of a conditional statement "If p, then q" is "If q, then p."

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What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as "p if and only if q" (p ↔ q).

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement "If p, then q" is "If not q, then not p" (¬q → ¬p).

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What is the inverse of a conditional statement?

Back

The inverse of a conditional statement "If p, then q" is "If not p, then not q" (¬p → ¬q).

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What is the negation of a statement?

Back

The negation of a statement is the opposite of the statement. For example, the negation of "It is raining" is "It is not raining."

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What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure in degrees.

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What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows the 'then.' In "If p, then q," q is the conclusion.

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What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows the 'if.' In "If p, then q," p is the hypothesis.

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How do you identify the hypothesis and conclusion in a statement?

Back

In a statement of the form "If p, then q," p is the hypothesis and q is the conclusion.