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28 Cards in this Set
- Front
- Back
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two coplanar angles that have a common side and a common vertex but no common interior points.
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Adjacent angles
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conditional statement and its converse can be combined, contains the words "if and only if."
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Biconditional
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Two angles whose sum of their measures is 90 degrees.
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Complementary angles
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part of an if-then statement (also called the conditional) that follows then.
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Conclusion
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an if-then statement
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Conditional
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"if p, then q" is the conditional "if q, then p."
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Converse
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process of reasoning logically from given facts to a conclusion.
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Deductive reasoning
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part that follows if in an if-then statement (or conditional).
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Hypothesis
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Two angles are __________ if the sum of their measures is 180.
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Supplementary
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a conjecture that is proven
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Theorem
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statement is "true" or "false" according to whether the statement is true or false, respectively.
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Truth value
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two angles with sides that are opposite rays.
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Vertical angles
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symbolic form of a ______ is p → q
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conditional
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symbolic form of a ______ is q → p
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converse
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When a conditional and its converse are true, you can combine them as a ________
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true biconditional
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To write ____________ you join the two parts of each conditional with the phrase if and only if
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biconditional
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The symbolic form of a ____ is p ↔ q
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biconditional
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If p → q is a true statement and p is true, then q is true.
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Law of Detachment
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If p → q and q → r are true statements, then p → r is true.
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Law of Syllogism
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if a = b, then a + c = b + c
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addition property
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if a = b, then a - c = b - c
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subtraction property
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if a = b, then a x c = b x c
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multiplication property
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look at notes for symbols
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division property
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if a = b, then b can replace a in any expression
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substitution property
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a (b + c) = ab + ac
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distributive property
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look at notes for symbols
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reflexive property
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look at notes for symbols
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symmetric property
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look at notes for symbols
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transitive property
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