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### 28 Cards in this Set

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 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 if-then statement (also called the conditional) that follows then. Conclusion an if-then 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 if-then 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