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26 Cards in this Set
- Front
- Back
Adjacent Angles
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2 nonstraight and nonzero angles that have a common side in the interior of the angle formed by the noncommon sides
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Biconditional
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a conditional and its converse where the converse is also true; uses the words if and only if
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Conditional
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a statement that tells if one thing happens, another will follow
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Converse
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a reversed conditional
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Counterexample
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a situation in a conditional for which the antecedent is true, but the conditional is false
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Vertical Angles
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2 angles that share a common vertex and whose sides form 2 lines
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Two Column Proof
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Numbered statements and corresponding reasons that show an argument in logical order
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Theorem
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important mathematical statements which can be proven by postulates, definitions, and/or previously proved theorems
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Proof
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a sequence of justified conclusions used to prove the validity of an if-then statement
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Paragraph Proof
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A kind of proof in which the steps are written out in complete sentences, in paragraph form. Identical in content, but different in form.
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Inductive reasoning
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the process of arriving at a conclusion based on a set of observations
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deductive reasoning
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the process by which a person makes conclusions based on previously known facts
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If A=B and if B=C then ____
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A=C
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if a=b then
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a+c=a+b
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if a=b then
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a-c=b-c
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if a=b then
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ac=bc
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if a=b and c does not equal zero then
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a/c=b/c
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For any real number
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a=a
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For all real numbers
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if a=b then b=a
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for all real numbers
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if a=b and b=c then a=c
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figure a=
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figure a
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if fig. a=fig. b then
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fig b=fig. a
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if figure a=figure b and figure b=figure c
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then figure a=figure c
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if two congurent angles form a pair of verticle angles
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then they are congruent.
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Reflection across two parallel lines is euivalent
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to a translation of twice the distance between the lines and a direction perpedicular to the lines.
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Reflection across two intersecting lines is equivalent to
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a roataion about the point of intersection through twive the measure of the angle between the lines.
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