# Beat the Computer! Geometry Vocabulary for Unit 2

## Presentation on theme: "Beat the Computer! Geometry Vocabulary for Unit 2"— Presentation transcript:

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

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