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26 Cards in this Set

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