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Geometry Ch 2 Vocab!

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