Question | Answer |
A type of logical statement that has two parts, a hypothesis and a conclusion. | Conditional Statement |
The form of a conditional statement that uses the words "if" and "then". | if-then form |
The "if" part of a conditional statement. | Hypothesis |
The "then" part of a conditional statement. | Conclusion |
The statement formed by switching the hypothesis and conclusion of a conditional statement. | Converse |
The statement formed when you negate the hypothesis and conclusion of a conditional statement. | Inverse |
The statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement. | Contrapositive |
The negative of a statement. The negation symbol is ~. | Negation |
Two statements that are both true or both false. | Equivalent Statement |
Two lines that intersect to form a right angle. | Perpendicular Lines |
A line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it. | Line perpendicular to a Plane |
A statement that contains the phrase "if and only if". | Bi conditional Statement |
An argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order. | Logical Argument |
If p → q is true conditional statement and p is true, then q is true. | Law of Detachment |
If p → q and q → r are true conditional statement, then p → r is true. | Law of Syllogism |
A true statement that follows as a result of other true statements. | Theorem |
A type of proof written as numbered statements and reasons that show the logical order of an argument. | Two Column Proof |
A type of proof written in paragraph form. | Paragraph Proof |