Vocab Word: | Definition: |
1) Conditional Statement: | A type of logical statement that has TWO parts, a hypothesis and a conclusion. |
2) If-then-form: | The form a conditional statement that uses the words "If" and "Then." The "If" part contains the hypothesis and the "Then" part contains the conclusion. |
3) Hypothesis: | The "If" part of a conditional statement. |
4) Conclusion: | The "Then" part of a conditional statement. |
5) Converse: | The statement formed by switching the hypothesis and the conclusion of a conditional statement. |
6) Negation: | The negative of a statement. The negation symbol is ~. |
7) Inverse: | The statement formed when you negate the hypothesis and the conclusion of conditional statement. |
8) Contrapositive: | The statement formed when you negate the hypothesis and the conclusion of the converse of a conditional statement. |
9) Equivalent Statement: | Two statements that are both true or both false. |
10) Perpendicular Lines: | Two lines that intersect two form a right angle. The symbol for "is perpendicular to" is |
11) Line Perpendicular To A Plane: | A line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it. |
12) Biconditional Statement: | A statement that contains the phrase "If and only if." The symbol "If and only if" is <—>. |
13) Logical Argument: | An argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order. |
14) Law Of Detachment: | If p —> q is a true conditional statement and p is true, then q is true. |
15) Law Of Syllogism. | If p —> q and q —> r are true conditional statements, then p —> r is true. |
16) Theorem: | A true statement that follows as a result of other true statements. |
17) Two-Column Proof: | A type of proof written as numbered statements and reasons that show the logical order of an argument. |
18) Paragraph Proof: | A type of proof written in paragraph form. |