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Unit 2 Vocabulary

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Term
Definition
Conclusion   The part of a conditional following then  
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Truth Value   Whether a conditional is true or false  
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Negation   A statement that has the opposite truth value  
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Conditional   Another name for an if-then statement  
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Vertical Angle   Two angles formed by intersecting lines  
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Hypothesis   The part of a conditional following if  
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Converse   Switches the hypothesis and the conclusion of a conditional statement  
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Inverse   Negates both the hypothesis and conclusion of a conditional statement  
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Formal Proof   A proof that contains statements and reasons organized into two columns  
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Adjacent Angle   Two angles that share a common side  
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Supplementary Angles   Two angles whose measures have a sum of 180  
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Deductive Reasoning   The process of reasoning logically from given statements to a conclusion  
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Contrapositive   Switches and negates both the hypothesis and conclusion of a conditional statement  
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Equivalent Statements   Statements with the same truth value  
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Complementary Angles   Two angles whose measures have a sum of 90  
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Good Definition   A statement that can be written as a biconditional  
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Venn Diagram   A diagram that uses circles to illustrate conditionals  
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Inductive Reasoning   Reasoning based on patterns you observe  
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Algebraic Proof   A proof that is made up of a series of algebraic statements  
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Indirect Reasoning   A proof that begins with assuming the opposite of what you want to prove and showing there is a contradiction  
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Law of Syllogism   Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement  
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Law of Detachment   If the conditional is true and its hypothesis is true, then the conclusion is true.  
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Counter Example   An example or instance of the statement that makes the statement false  
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Biconditional   Combining a conditional using the words if and only if when the conditional and the converse are both true  
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Created by: thawkins
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