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28 Cards in this Set
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 Back
two coplanar angles that have a common side and a common vertex but no common interior points.

Adjacent angles


conditional statement and its converse can be combined, contains the words "if and only if."

Biconditional


Two angles whose sum of their measures is 90 degrees.

Complementary angles


part of an ifthen statement (also called the conditional) that follows then.

Conclusion


an ifthen statement

Conditional


"if p, then q" is the conditional "if q, then p."

Converse


process of reasoning logically from given facts to a conclusion.

Deductive reasoning


part that follows if in an ifthen statement (or conditional).

Hypothesis


Two angles are __________ if the sum of their measures is 180.

Supplementary


a conjecture that is proven

Theorem


statement is "true" or "false" according to whether the statement is true or false, respectively.

Truth value


two angles with sides that are opposite rays.

Vertical angles


symbolic form of a ______ is p → q

conditional


symbolic form of a ______ is q → p

converse


When a conditional and its converse are true, you can combine them as a ________

true biconditional


To write ____________ you join the two parts of each conditional with the phrase if and only if

biconditional


The symbolic form of a ____ is p ↔ q

biconditional


If p → q is a true statement and p is true, then q is true.

Law of Detachment


If p → q and q → r are true statements, then p → r is true.

Law of Syllogism


if a = b, then a + c = b + c

addition property


if a = b, then a  c = b  c

subtraction property


if a = b, then a x c = b x c

multiplication property


look at notes for symbols

division property


if a = b, then b can replace a in any expression

substitution property


a (b + c) = ab + ac

distributive property


look at notes for symbols

reflexive property


look at notes for symbols

symmetric property


look at notes for symbols

transitive property
