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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 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
