conditional 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
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
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
pg. 69 truth value: the value, true or false, of a conditional statement 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
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
pg. 82 deductive reasoning: the process of reasoning logically from given statements to a conclusion 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
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
pg. 96 vertical angles: two angles whose sides are opposite rays 1 2 1 and 2 are vertical angles Chris Giovanello, LBUSD Math Curriculum Office, 2004
pg. 96 adjacent angles: two coplanar angles that share a common vertex and side, but have no common interior points 1 2 1 & 2 are adjacent angles 3 4 3 & 4 are adjacent angles Chris Giovanello, LBUSD Math Curriculum Office, 2004
complementary angles: pg. 96 two angles whose sum measures 90º 1 55 2 X 1 & 2 are complementary Y 35 X & Y are complementary Chris Giovanello, LBUSD Math Curriculum Office, 2004
supplementary angles: pg. 96 two angles whose sum measures 180º 45 1 2 1 & 2 are supplementary 135 Y X X & Y are supplementary Chris Giovanello, LBUSD Math Curriculum Office, 2004
linear pair: if two adjacent angles share one side but the two sides they do not share not opposite rays 1 2 1 & 2 are a linear pair 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
pg. 98 paragraph proof: a proof written as sentences in a paragraph Chris Giovanello, LBUSD Math Curriculum Office, 2004
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