An unproven statement that is based on observations.
A process that includes looking for patterns and making conjectures.
A specific case that shows a conjecture is false.
A type of logical statement that has two parts, a hypothesis and a conclusion.
The statement formed by exchanging the hypothesis and conclusion of a conditional statement.
The statement formed by negating the hypothesis and conclusion of a conditional statement.
The equivalent statement formed by negating the hypothesis and conclusion of a conditional statement.
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.
The "if" part of a conditional statement.
The "then" part of a conditional statement.
The opposite of a statement.
Two statements that are both true or both false.
Two lines that intersect to form a right angle.
A statement that contains the phrase "if and only if."
A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.
A logical argument that shows a statement is true.
A type of proof written as numbered statements and corresponding reasons that show an argument in a logical order.
A true statement that follows as a result of other true statements.