Beat the Computer! Geometry Vocabulary for Unit 2 Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 conditional Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 hypothesis Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 conclusion Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 truth value Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 converse Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 biconditional Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 deductive reasoning Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

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

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 vertical angles Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 adjacent angles Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 complementary angles Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 supplementary angles Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 linear pair Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 theorem Chris Giovanello, LBUSD Math Curriculum Office, 2004

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

Chris Giovanello, LBUSD Math Curriculum Office, 2004 paragraph proof Chris Giovanello, LBUSD Math Curriculum Office, 2004

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