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chap 2 definitions
chapter 2 math defintions
19
Mathematics
10th Grade
10/08/2009

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Term
Conjecture
Definition
an unproven statement that is based on observations
Term
inductive reasoning
Definition
when you find a pattern in specific cases and then write a conjecture for the general case
Term
counterexample
Definition
specific case for when a conjecture is false
Term
conditional statements
Definition
logical statement that has two parts, hypothesis and conclusion
Term
converse
Definition
to write the converse exchange the hypothesis and conclusion
Term
inverse
Definition
to write the inverse negate both the hypothesis and conclusion
Term
contrapositive
Definition
first write the converse and then negate both hypothesis and conclusion
Term
if-then form
Definition
when written in this form the "if" part contains the hypothesis and the "then" contains the conclusion
Term
hypothesis
Definition
the if part of a conditional statement
Term
conclusion
Definition
the then part of a conditional statement
Term
negation
Definition
the opposite of the original statement
Term
equivalent statements
Definition
when two statements are both true or both false
Term
perpendicular lines
Definition
when two lines intersect to form a right angle
Term
biconditional statements
Definition
contains the phrase "if and only if"
Term
deductive reasoning
Definition
uses facts, defintions, accepted properties, and laws of logice to form a logical arguement
Term
line perpendicular to a plane
Definition
a line is a line perpendicular to a plane if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point
Term
proof
Definition
logical arguement that shows a statement is true
Term
two-column proof
Definition
numbered statements and corresponding reasons that show an arguements in a logical order
Term
theorem
Definition
is a statement that can be proven
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