Glencoe 2018 Geometry Chapter 2
Terms in this set (33)
Reasoning that uses a number of specific examples to arrive at a plausible generalization of prediction.
An educated guess based on known information.
An example used to show that a given statement is not always true.
A sentence that is either true or false, but not both.
The truth or falsity of a statement.
If a statement is represented by p, then not p is the negation.
A statement formed by joining two or more statements.
A compound statement formed by joining two or more statements with the word "and".
A compound statement formed by joining two or more statements with
A statement that can be written in the if-then form.
A compound statement of the form "if ___, then ____" where the blanks are statements.
In a conditional statements, the statement that immediately follows the work "if".
In a conditional statement, the statement that immediately.
Statements that are based on a given conditional statement.
The statement formed by exchanging the hypothesis and conclusion of a conditional statement.
The statement formed by negating both the hypothesis and conclusion of a conditional statement.
The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
Statements that have the same truth values.
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
Law of Syllogism
allows you to draw
conclusions from two true statements when the conclusion of one statement is the hypothesis of another
is a statement that is accepted as true.
Describes fundamental relationships
Through any two points, there is exactly one line.
Through any three noncollinear points, there is exactly one plane.
A line contains at least two points.
A plane contains at least three noncollinear points
If two points lie in a plane, then the entire line containing those points lies in the plane.
If two lines intersect, then their intersection is exactly one point.
If two planes intersect, then their intersection is a line.
A logical argument that uses deductive reasoning to reach a valid conclusion
statements written in boxes and arrows to show the logical progression of an argument
write a paragraph to explain why a statement is true
A statement that can be proved true