Ch. 7 Flashcards Preview

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Flashcards in Ch. 7 Deck (46)
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1

conjunction

"and", ^, true when both statements r true

2

disjunction

"or", V, true when @ least 1 statement is true

3

negation

~, "not"

4

Inclusive "Or"

doing 1/other/both

5

4 ways to rewrite p --> q

If p, then q Every p has q The fact that p implies that q p iff q

6

converse

q --> p

7

inverse

~p --> ~q

8

contrapositive

~q --> ~p

9

Direct Argument

p --> q

p

... q

10

Indirect Argument

p --> q

~q

... ~p

11

Chain Rule

p --> q

q --> r

... p --> r

12

Or Rule

p V q

~p

...q

 

p V q

~q

... p

13

Venn diagram placement for conditionals/implications

14

biconditional rules

p iff q

q

... p

p iff q

p

... q

p iff q

~p

... ~q

p iff q

~q

... ~p

15

good definition

built from a true conditional with a true converse

16

two-column proof

a proof written in 2 columns. statements are listed in 1 column & justifications r listed in the other column

17

paragraph proof

a proof whose statements & justifications r written in paragraph form

18

flow proof

a proof written as a diagram using arrows to show the connections b/w statements. #'s written over the arrows refer to a #-ed list of the justifications 4 the statements

19

postulate

a statement assumed to be true w/out proof

20

Addition Property of Equality

If the same # is added to equal #'s, the sums r equal a = b --> a + c = b + c

21

Subtraction Property of Equality

If the same # is subtracted from equal #'s, the differences r equal. a = b --> a - c = b - c

22

Multiplication Property of Equality

If equal #'s r multiplied by the same #, the products r equal a = b --> ac = bc

23

Division Property of Equality

If equal #'s are divided by the same nonzero #, the quotients are equal. a = b and c_0 --> a/c = b/c

24

Reflexive Property of Equality

A # is equal to itself. a = a

25

Substitution Property

If values are equal, 1 value may be substituted 4 the other. a = b --> a may be substituted 4 b

26

Distributive Property

An expression of the form a(b + c) is equivalent to ab + ac. a(b + c) = ab + ac

27

square root

one of 2 equal factors of a #

28

straight angle postulate

If the sides of an angle form a straight line, then the angle is a straight angle with a measure of 180

29

Angle or Segment Addition Postulate (Whole and Parts Postulate)

For any segment or angle, the measure of the whole is equal to the sum of the measures of its non-overlapping parts.

30

Supplements of Angles Theorem (7.1)

If 2 angles are supplementary to the same angle, then they are equal in measure.