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

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Presentation on theme: "Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 2."— Presentation transcript:

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

3 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

4 Chris Giovanello, LBUSD Math Curriculum Office, 2004 conditional

5 Chris Giovanello, LBUSD Math Curriculum Office, 2004 conditional: another name for an if-then statement If it is raining, then I will need my umbrella. pg. 68

6 Chris Giovanello, LBUSD Math Curriculum Office, 2004 hypothesis

7 Chris Giovanello, LBUSD Math Curriculum Office, 2004 hypothesis: the part following the if in an if-then statement If it is raining, then I will need my umbrella. pg. 68

8 Chris Giovanello, LBUSD Math Curriculum Office, 2004 conclusion

9 Chris Giovanello, LBUSD Math Curriculum Office, 2004 conclusion: the part following the then in an if-then statement If it is raining, then I will need my umbrella. pg. 68

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

11 Chris Giovanello, LBUSD Math Curriculum Office, 2004 truth value: the value, true or false, of a conditional statement pg. 69

12 Chris Giovanello, LBUSD Math Curriculum Office, 2004 converse

13 Chris Giovanello, LBUSD Math Curriculum Office, 2004 converse: a new statement that switches the hypothesis and conclusion of the original conditional statement pg. 69

14 Chris Giovanello, LBUSD Math Curriculum Office, 2004 biconditional

15 Chris Giovanello, LBUSD Math Curriculum Office, 2004 biconditional: a statement made by connecting the conditional and its converse with the words if and only if pg. 75

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

17 Chris Giovanello, LBUSD Math Curriculum Office, 2004 deductive reasoning: the process of reasoning logically from given statements to a conclusion pg. 82

18 Chris Giovanello, LBUSD Math Curriculum Office, 2004 Law of Detachment

19 Chris Giovanello, LBUSD Math Curriculum Office, 2004 Law of Detachment: If a conditional is true and its hypothesis is true, then its conclusion is true. pg. 83 If p q is a true statement and p is true, then q is true.

20 Chris Giovanello, LBUSD Math Curriculum Office, 2004 Law of Syllogism

21 Chris Giovanello, LBUSD Math Curriculum Office, 2004 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. pg. 83 If p q and q r are true statements, then p r is true.

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

23 Chris Giovanello, LBUSD Math Curriculum Office, 2004 vertical angles: two angles whose sides are opposite rays and 2 are vertical angles pg. 96

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

25 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 & 2 are adjacent angles 3 & 4 are adjacent angles pg. 96

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

27 Chris Giovanello, LBUSD Math Curriculum Office, 2004 complementary angles: two angles whose sum measures 90º & 2 are complementary X Y X & Y are complementary pg. 96

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

29 Chris Giovanello, LBUSD Math Curriculum Office, 2004 supplementary angles: two angles whose sum measures 180º 12 1 & 2 are supplementary X Y X & Y are supplementary pg. 96

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

31 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 12 1 & 2 are a linear pair

32 Chris Giovanello, LBUSD Math Curriculum Office, 2004 theorem

33 Chris Giovanello, LBUSD Math Curriculum Office, 2004 theorem: a statement that must be proved to be true pg. 98

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

35 Chris Giovanello, LBUSD Math Curriculum Office, 2004 paragraph proof: a proof written as sentences in a paragraph pg. 98


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