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Geometry Ch 2 Vocab!

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.
Created by: Alysa