Geometry Topic 2 Vocabulary

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Conditional Statement

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A statement of the form 'If p, then q.' where p is the hypothesis and q is the conclusion.

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Addition Property

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If a = b, then a + c = b + c. This property states that if two quantities are equal, adding the same value to both will keep them equal.

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Subtraction Property

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If a = b, then a - c = b - c. This property states that if two quantities are equal, subtracting the same value from both will keep them equal.

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Converse

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

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Multiplication Property

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If a = b, then a * c = b * c. This property states that if two quantities are equal, multiplying both by the same value will keep them equal.

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Inverse

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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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Contrapositive

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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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Reflexive Property

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For any number a, a = a. This property states that any quantity is equal to itself.

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Symmetric Property

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If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.

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Transitive Property

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If a = b and b = c, then a = c. This property states that if one quantity equals a second, and that second quantity equals a third, then the first quantity equals the third.