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

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

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

Documents

lbusd math curriculum

chris giovanello

slide changes slide

conclusion slide

hypothesis slide

converse slide

biconditional slide

law of detachment slide