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Beat the Computer! Geometry Vocabulary for Unit 2
Chris Giovanello, LBUSD Math Curriculum Office, 2004
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
Directions: A slide will appear with a term Say the definition aloud before the computer can answer (5 sec.) You will hear a sound when the slide changes Chris Giovanello, LBUSD Math Curriculum Office, 2004
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
conditional Chris Giovanello, LBUSD Math Curriculum Office, 2004
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another name for an if-then statement
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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
hypothesis Chris Giovanello, LBUSD Math Curriculum Office, 2004
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the part following the “if” in an if-then statement
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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
conclusion Chris Giovanello, LBUSD Math Curriculum Office, 2004
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the part following the “then” in an if-then statement
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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
truth value Chris Giovanello, LBUSD Math Curriculum Office, 2004
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the value, true or false, of a conditional statement
pg. 69 truth value: the value, true or false, of a conditional statement Chris Giovanello, LBUSD Math Curriculum Office, 2004
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
converse Chris Giovanello, LBUSD Math Curriculum Office, 2004
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
biconditional Chris Giovanello, LBUSD Math Curriculum Office, 2004
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
deductive reasoning Chris Giovanello, LBUSD Math Curriculum Office, 2004
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
Law of Detachment Chris Giovanello, LBUSD Math Curriculum Office, 2004
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
Law of Syllogism Chris Giovanello, LBUSD Math Curriculum Office, 2004
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
vertical angles Chris Giovanello, LBUSD Math Curriculum Office, 2004
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two angles whose sides are opposite rays
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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
adjacent angles Chris Giovanello, LBUSD Math Curriculum Office, 2004
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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 1 2 3 4 1 & 2 are adjacent angles 3 & 4 are adjacent angles Chris Giovanello, LBUSD Math Curriculum Office, 2004
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
complementary angles Chris Giovanello, LBUSD Math Curriculum Office, 2004
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complementary angles: two angles whose sum measures 90º
pg. 96 1 2 55 35 X Y 1 & 2 are complementary X & Y are complementary Chris Giovanello, LBUSD Math Curriculum Office, 2004
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
supplementary angles Chris Giovanello, LBUSD Math Curriculum Office, 2004
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supplementary angles: two angles whose sum measures 180º
pg. 96 45 Y 135 1 2 X X & Y are supplementary 1 & 2 are supplementary Chris Giovanello, LBUSD Math Curriculum Office, 2004
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
linear pair Chris Giovanello, LBUSD Math Curriculum Office, 2004
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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
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
theorem Chris Giovanello, LBUSD Math Curriculum Office, 2004
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a statement that must be proved to be true
pg. 98 theorem: a statement that must be proved to be true Chris Giovanello, LBUSD Math Curriculum Office, 2004
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
paragraph proof Chris Giovanello, LBUSD Math Curriculum Office, 2004
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a proof written as sentences in a paragraph
pg. 98 paragraph proof: a proof written as sentences in a paragraph Chris Giovanello, LBUSD Math Curriculum Office, 2004
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