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Reasoning Vocab
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Geometric Reasoning
Key Concepts:
Terms in this set (13)
inductive reasoning
Uses patterns and observations to form conjectures.
conjecture
An unproven statement based on observations that is believed to be true.
counterexample
An example that proves that a conjecture or statement is false.
conditional statement
A statement that can be written in the form
if p, then q
where p is the hypothesis and q is the conclusion.
hypothesis
The
"p"
part of a conditional statement. Follows the word
if
.
conclusion
The
"q"
part of a conditional statement. Follows the word
then
.
negation
The opposite of the original statement.
converse
Swap the hypothesis and the conclusion
if q, then p
inverse
Negate the hypothesis and the conclusion
if ~p, then ~q
contrapositive
Swap
and
Negate the hypothesis and the conclusion.
if ~q, then ~p
deductive reasoning
Uses facts, definitions, and laws of logic to form a logical argument with a necessary conclusion.
Law of Detachment
If the hypothesis of a true conditional statement is true, then the conclusion is also true.
Law of Syllogism
If the hypothesis of one conditional statement is the same as the conclusion of another conditional statement, then a new statement, then you can create a
new
conditional statement from the pieces that
do not
overlap.
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