Search
Create
Glencoe 2018 Geometry Chapter 2
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Terms in this set (33)
inductive reasoning
Reasoning that uses a number of specific examples to arrive at a plausible generalization of prediction.
conjecture
An educated guess based on known information.
counterexample
An example used to show that a given statement is not always true.
statement
A sentence that is either true or false, but not both.
truth value
The truth or falsity of a statement.
negation
If a statement is represented by p, then not p is the negation.
compound statement
A statement formed by joining two or more statements.
conjunction
A compound statement formed by joining two or more statements with the word "and".
disjunction
A compound statement formed by joining two or more statements with
conditional statement
A statement that can be written in the if-then form.
if-then statement
A compound statement of the form "if ___, then ____" where the blanks are statements.
hypothesis
In a conditional statements, the statement that immediately follows the work "if".
conclusion
In a conditional statement, the statement that immediately.
related conditionals
Statements that are based on a given conditional statement.
converse
The statement formed by exchanging the hypothesis and conclusion of a conditional statement.
inverse
The statement formed by negating both the hypothesis and conclusion of a conditional statement.
contrapositive
The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
logically equivalent
Statements that have the same truth values.
biconditional statement
The conjunction of a conditional statement and its converse.
Law of Detachment Deductive reasoning
is the process of using facts, rules, definitions, or properties to reach
conclusions
Law of Syllogism
allows you to draw
conclusions from two true statements when the conclusion of one statement is the hypothesis of another
Postulates
is a statement that is accepted as true.
Describes fundamental relationships
in geometry
Postulate 2.1
Through any two points, there is exactly one line.
Postulate 2.2
Through any three noncollinear points, there is exactly one plane.
Postulate 2.3
A line contains at least two points.
Postulate 2.4
A plane contains at least three noncollinear points
Postulate 2.5
If two points lie in a plane, then the entire line containing those points lies in the plane.
Postulate 2.6
If two lines intersect, then their intersection is exactly one point.
Postulate 2.7
If two planes intersect, then their intersection is a line.
Proofs
A logical argument that uses deductive reasoning to reach a valid conclusion
flow proof
uses
statements written in boxes and arrows to show the logical progression of an argument
paragraph proof
write a paragraph to explain why a statement is true
theorem
A statement that can be proved true
;