Unit 1 Flashcard 2 Review - Geometry Logic and Reasoning

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What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (the hypothesis) implies the second proposition (the conclusion).

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What is the converse of a conditional statement?

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

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What is the contrapositive of a conditional statement?

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The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p.'

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What is an inverse of a conditional statement?

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The inverse of a conditional statement 'If p, then q' is 'If not p, then not q.'

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What is a biconditional statement?

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

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What is a counterexample?

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A counterexample is an example that disproves a conjecture or statement by showing that it is not always true.

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What does it mean for two angles to be vertical?

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Two angles are vertical if they are opposite each other when two lines intersect, and they are always congruent.

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What is a linear pair of angles?

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A linear pair of angles consists of two adjacent angles that form a straight line, and their measures add up to 180 degrees.

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What is the definition of supplementary angles?

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Supplementary angles are two angles whose measures add up to 180 degrees.

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What is the definition of acute angles?

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An acute angle is an angle that measures less than 90 degrees.