Ch. 7

Question 1

conjunction

Answer 1

“and”, ^, true when both statements r true

Question 2

disjunction

Answer 2

“or”, V, true when @ least 1 statement is true

Question 3

negation

Answer 3

~, “not”

Question 4

Inclusive “Or”

Answer 4

doing 1/other/both

Question 5

4 ways to rewrite p –> q

Answer 5

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

Question 6

converse

Answer 6

q –> p

Question 7

inverse

Answer 7

~p –> ~q

Question 8

contrapositive

Answer 8

~q –> ~p

Question 9

Direct Argument

Answer 9

p –> q

p

… q

Question 10

Indirect Argument

Answer 10

p –> q

~q

… ~p

Question 11

Chain Rule

Answer 11

p –> q

q –> r

… p –> r

Question 12

Or Rule

Answer 12

p V q

~p

…q

p V q

~q

… p

Question 13

Venn diagram placement for conditionals/implications

Answer 13

Question 14

biconditional rules

Answer 14

p iff q

q

… p

p iff q

p

… q

p iff q

~p

… ~q

p iff q

~q

… ~p

Question 15

good definition

Answer 15

built from a true conditional with a true converse

Question 16

two-column proof

Answer 16

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

Question 17

paragraph proof

Answer 17

a proof whose statements & justifications r written in paragraph form

Question 18

flow proof

Answer 18

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

Question 19

postulate

Answer 19

a statement assumed to be true w/out proof

Question 20

Addition Property of Equality

Answer 20

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

Question 21

Subtraction Property of Equality

Answer 21

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

Question 22

Multiplication Property of Equality

Answer 22

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

Question 23

Division Property of Equality

Answer 23

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

Question 24

Reflexive Property of Equality

Answer 24

A # is equal to itself. a = a

Question 25

Substitution Property

Answer 25

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

Question 26

Distributive Property

Answer 26

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

Question 27

square root

Answer 27

one of 2 equal factors of a #

Question 28

straight angle postulate

Answer 28

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

Question 29

Angle or Segment Addition Postulate (Whole and Parts Postulate)

Answer 29

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

Question 30

Supplements of Angles Theorem (7.1)

Answer 30

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

Question 31

Complements of Angles Theorem (7.2)

Answer 31

If two angles are complements of the same angle, then they are equal in measure.

Question 32

Vertical Angle Theorem

Answer 32

All vertical angles are equal in measure.

Question 33

Corresponding Angles Postulate (Post. 10)

Answer 33

If 2 parallel lines r intersected by a transversal, then corresponding angles are equal in measure.

Question 34

Alternate Interior Angles Th (Th 7.4)

Answer 34

If 2 parallel lines r intersected by a transversal, then alternate interior angles are equal in measure.

Question 35

what kinds of angles are these?

Answer 35

angles 3 and 6 are alternate interior angles

angles 1 and 8 are alternate exterior angles

angles 3 and 5 are cointerior angles

angles 2 and 6 are corresponding angles

Question 36

Co-Interior Angles Th (Th 7.5)

Answer 36

If 2 parallel lines are intersected by a transversal, then co-interior angles are supplementary.

Question 37

What kinds of angles are shown below?

Answer 37

Angles A and D are consecutive angles.

Angles A and C are opposite angles.

Question 38

Consecutive Angles Th (Th 7.6)

Answer 38

If a quadrilateral is a parallelogram, then consecutive angles are supplementary.

Question 39

Opposite Angle Theorem (Th 7.7)

Answer 39

If a quadrilateral is a paralleogram, then opposite angles are equal in measure.

Question 40

Venn diagram placement for biconditionals

Answer 40

Question 41

hypothesis

Answer 41

The if part of an if-then statement

Question 42

conclusion

Answer 42

The then part of an if-then statement.

Question 43

implication/conditional

Answer 43

A statement with an if part and a then part.

Question 44

premise

Answer 44

A given statement in an argument. The resulting statement is called the conclusion.

Question 45

valid argument

Answer 45

An argument that uses rules of logic.

Question 46

biconditional

Answer 46

the conjunction of a true conditional and its true converse, usually written using the phrase if and only if