Beat the Computer!

Chris Giovanello, LBUSD Math Curriculum Office, 2004

Beat the Computer!

Geometry Vocabulary for Unit 2


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


conditional


conditional:

another name for an if-then statement

If it is raining, then I will need my umbrella.

pg. 68


hypothesis


hypothesis:

the part following the “if” in an if-then

statementIf it is raining, then I will need my umbrella.

pg. 68


conclusion


conclusion:

the part following the “then” in an if-

then statementIf it is raining, then I will need my umbrella.

pg. 68


truth value


truth value:

the value, true or false, of a conditional statement

pg. 69


converse


converse:

a new statement that switches the

hypothesis and conclusion of the

original conditional statement

pg. 69


biconditional


biconditional:

a statement made by connecting the

conditional and its converse with the

words “if and only if”

pg. 75


deductive reasoning


deductive reasoning:

the process of reasoning logically

from given statements to a

conclusion

pg. 82


Law of Detachment


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.


Law of Syllogism


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.


vertical angles


vertical angles:

two angles whose sides are opposite rays

1

2

1 and 2 are vertical angles

pg. 96


adjacent angles


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


complementary angles


complementary angles:

two angles whose sum measures 90º

12

1 & 2 are complementary

3555

X Y

X & Y are complementary

pg. 96


supplementary angles


supplementary angles:

two angles whose sum measures 180º

1 2

1 & 2 are supplementary

135

45

X

Y

X & Y are supplementary

pg. 96


linear pair


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


theorem


theorem:

a statement that must be proved to

be true

pg. 98


paragraph proof


paragraph proof:

a proof written as sentences in a

paragraph

pg. 98

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Beat the Computer!