Chris Giovanello, LBUSD Math Curriculum Office, 2004 Beat the Computer! Geometry Vocabulary for Unit 2.
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Chris Giovanello, LBUSD Math Curriculum Office, 2004
Beat the Computer!
Geometry Vocabulary for Unit 2
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
conditional
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
Chris Giovanello, LBUSD Math Curriculum Office, 2004
hypothesis
Chris Giovanello, LBUSD Math Curriculum Office, 2004
hypothesis:
the part following the “if” in an if-then
statementIf it is raining, then I will need my umbrella.
pg. 68
Chris Giovanello, LBUSD Math Curriculum Office, 2004
conclusion
Chris Giovanello, LBUSD Math Curriculum Office, 2004
conclusion:
the part following the “then” in an if-
then statementIf it is raining, then I will need my umbrella.
pg. 68
Chris Giovanello, LBUSD Math Curriculum Office, 2004
truth value
Chris Giovanello, LBUSD Math Curriculum Office, 2004
truth value:
the value, true or false, of a conditional statement
pg. 69
Chris Giovanello, LBUSD Math Curriculum Office, 2004
converse
Chris Giovanello, LBUSD Math Curriculum Office, 2004
converse:
a new statement that switches the
hypothesis and conclusion of the
original conditional statement
pg. 69
Chris Giovanello, LBUSD Math Curriculum Office, 2004
biconditional
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
Chris Giovanello, LBUSD Math Curriculum Office, 2004
deductive reasoning
Chris Giovanello, LBUSD Math Curriculum Office, 2004
deductive reasoning:
the process of reasoning logically
from given statements to a
conclusion
pg. 82
Chris Giovanello, LBUSD Math Curriculum Office, 2004
Law of Detachment
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.
Chris Giovanello, LBUSD Math Curriculum Office, 2004
Law of Syllogism
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.
Chris Giovanello, LBUSD Math Curriculum Office, 2004
vertical angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
vertical angles:
two angles whose sides are opposite rays
1
2
1 and 2 are vertical angles
pg. 96
Chris Giovanello, LBUSD Math Curriculum Office, 2004
adjacent angles
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
1 23 4
1 & 2 are adjacent angles 3 & 4 are adjacent angles
pg. 96
Chris Giovanello, LBUSD Math Curriculum Office, 2004
complementary angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
complementary angles:
two angles whose sum measures 90º
12
1 & 2 are complementary
3555
X Y
X & Y are complementary
pg. 96
Chris Giovanello, LBUSD Math Curriculum Office, 2004
supplementary angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
supplementary angles:
two angles whose sum measures 180º
1 2
1 & 2 are supplementary
135
45
X
Y
X & Y are supplementary
pg. 96
Chris Giovanello, LBUSD Math Curriculum Office, 2004
linear pair
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
rays1 2
1 & 2 are a linear pair
Chris Giovanello, LBUSD Math Curriculum Office, 2004
theorem
Chris Giovanello, LBUSD Math Curriculum Office, 2004
theorem:
a statement that must be proved to
be true
pg. 98
Chris Giovanello, LBUSD Math Curriculum Office, 2004
paragraph proof
Chris Giovanello, LBUSD Math Curriculum Office, 2004
paragraph proof:
a proof written as sentences in a
paragraph
pg. 98
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