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Geometry-Chapter 2

Geometry-Chapter 2 Vocabulary

an unproven statement that is based on observations conjecture
a process that includes looking for patterns and making conjectures inductive reasoning
a specific case that shows a conjecture is false counterexample
a type of logical statement that has two parts, a hypothesis and a conclusion conditional statement
the statement formed by exchanging the hypothesis and conclusion of a conditional statement converse
the equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement contrapositive
the statement formed by negating the hypothesis and conclusion of a conditional statement inverse
the form of a conditional statement that uses the words "if" and "then". The "if" part contains the hypothesis and the "then" part contains the conclusion. if-then form
the opposite of a statement negation
two statements that are both true or both false equivalent statement
two lines that intersect to form a right angle perpendicular lines
a statement that contains the phrase "if and only if" biconditional statement
a process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument deductive reasoning
a logical argument that shows a statement is true proof
a type of proof written as numbered statements and corresponding reasons that show an argument in a logical order two-column proof
a statement that can be proven theorem
If the hypothesis of a conditional statement is true, then the conclusion is also true. Law of Detachment
This law of logic allows you to draw conclusions from two conditional statements when the conclusion of one is the hypothesis of the other. Law of Syllogism
A rule or statement that is accepted as true without proof. postulate
A mathematical sentence formed by placing the symbol “=” between two expressions. equation
Equations that have the same solutions. equivalent equations
Two adjacent angles whose non-common sides are opposite rays. linear pair
Two angles whose measures have the sum of 90°. complementary angles
Two angles whose measures have the sum of 180°. supplementary angles
Two angles whose sides form two pairs of opposite rays. vertical angles
Created by: aelohaus