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
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
hypothesis
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
conclusion
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
truth value
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
converse
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
biconditional
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
deductive
reasoning
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
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
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
vertical angles
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
adjacent 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
Chris Giovanello, LBUSD Math Curriculum Office, 2004
complementary angles:
pg. 96
two angles whose sum
measures 90º
55
2
1
X
1 & 2 are complementary
Y
35
X & Y are complementary
Chris Giovanello, LBUSD Math Curriculum Office, 2004
supplementary
angles
Chris Giovanello, LBUSD Math Curriculum Office, 2004
supplementary angles:
pg. 96
two angles whose sum
measures 180º
45
1
135
2
1 & 2 are supplementary
Y
X
X & Y are supplementary
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 rays
1
2
1 & 2 are a linear pair
Chris Giovanello, LBUSD Math Curriculum Office, 2004
theorem
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
paragraph proof
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