Beat the Computer!

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## Beat the Computer!

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**Beat the Computer!**Geometry Vocabulary for Unit 2 Chris Giovanello, LBUSD Math Curriculum Office, 2004**Directions:**• A slide will appear with a term • Say the definition aloudbefore thecomputer can answer (5 sec.) • You will hear a sound when the slide changes Chris Giovanello, LBUSD Math Curriculum Office, 2004**conditional**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 68**conditional: another name for an if-then statement If it is raining, then I will need my umbrella. Chris Giovanello, LBUSD Math Curriculum Office, 2004**hypothesis**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 68**hypothesis: the part following the “if” in an if-then statement If it is raining, then I will need my umbrella. Chris Giovanello, LBUSD Math Curriculum Office, 2004**conclusion**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 68**conclusion: the part following the “then” in an if-then statement If it is raining, then I will need my umbrella. Chris Giovanello, LBUSD Math Curriculum Office, 2004**truth value**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 69**truth value: the value, true or false, of a conditional statement Chris Giovanello, LBUSD Math Curriculum Office, 2004**converse**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 69**converse: a new statement that switches the hypothesis and conclusion of the original conditional statement Chris Giovanello, LBUSD Math Curriculum Office, 2004**biconditional**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 75**biconditional: a statement made by connecting the conditional and its converse with the words “if and only if” Chris Giovanello, LBUSD Math Curriculum Office, 2004**deductive reasoning**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 82**deductive reasoning: the process of reasoning logically from given statements to a conclusion Chris Giovanello, LBUSD Math Curriculum Office, 2004**Law of Detachment**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 83**Law of Detachment: If a conditional is true and its hypothesis is true, then its conclusion is true. If p q is a true statement and p is true, then q is true. Chris Giovanello, LBUSD Math Curriculum Office, 2004**Law of Syllogism**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 83**Law of Syllogism: allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypotheses of the other. If p q and q r are true statements, then p r is true. Chris Giovanello, LBUSD Math Curriculum Office, 2004**vertical angles**Chris Giovanello, LBUSD Math Curriculum Office, 2004**vertical angles:**two angles whose sides are opposite rays pg. 96 1 2 1 and 2 are vertical angles Chris Giovanello, LBUSD Math Curriculum Office, 2004**adjacent angles**Chris Giovanello, LBUSD Math Curriculum Office, 2004**adjacent angles:**two coplanar angles that share a common vertex and side, but have no common interior points pg. 96 2 1 3 4 1 & 2 are adjacent angles 3 & 4 are adjacent angles Chris Giovanello, LBUSD Math Curriculum Office, 2004**complementary angles**Chris Giovanello, LBUSD Math Curriculum Office, 2004**2**1 complementary angles: two angles whose sum measures 90º pg. 96 55 35 X Y X & Y are complementary 1 & 2 are complementary Chris Giovanello, LBUSD Math Curriculum Office, 2004**supplementary angles**Chris Giovanello, LBUSD Math Curriculum Office, 2004**45**supplementary angles: two angles whose sum measures 180º pg. 96 Y 135 1 2 X X & Y are supplementary 1 & 2 are supplementary Chris Giovanello, LBUSD Math Curriculum Office, 2004**linear pair**Chris Giovanello, LBUSD Math Curriculum Office, 2004**linear pair:**if two adjacent angles share one side but the two sides they do not share are not opposite rays 1 2 1 & 2 are a linear pair Chris Giovanello, LBUSD Math Curriculum Office, 2004**theorem**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 98**theorem: a statement that must be proved to be true Chris Giovanello, LBUSD Math Curriculum Office, 2004**paragraph proof**Chris Giovanello, LBUSD Math Curriculum Office, 2004**pg. 98**paragraph proof: a proof written as sentences in a paragraph Chris Giovanello, LBUSD Math Curriculum Office, 2004