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28 Cards in this Set

  • Front
  • 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 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