Chapter 2 Test

Question 1

Hypothesis p and conclusion q (if/then)

Answer 1

Conditional statement

Question 2

Opposite of the original statement

Answer 2

Negation

Question 3

Exchange hypothesis and conclusion. If q, then p.

Answer 3

Converse

Question 4

Negate hypothesis and conclusion. If not p, then not q.

Answer 4

Inverse

Question 5

First write the converse, then negate both the hypothesis and conclusion. If not q, then not p.

Answer 5

Contrapositive

Question 6

When 2 statements are both true or both false

Answer 6

Equivalent statements

Question 7

A statement that contains the phrase “if and only if”

Answer 7

Biconditional statement

Question 8

Unproven statement based on observations

Answer 8

Conjecture

Question 9

When you find a pattern in specific cases then write a conjecture for a general case

Answer 9

Inductive reasoning

Question 10

Specific case when the conjecture is false

Answer 10

Counterexample

Question 11

Uses facts, definitions, accepted properties, and they las of logic to form a logical argument

Answer 11

Deductive reasoning

Question 12

Law of detachment

Answer 12

If the hypothesis of a true conditional statement is true, then the conclusion is also true

Question 13

A=B B=C A=C (laws of logic)

Answer 13

Law of syllogism

Question 14

a=b a+c=b+c

Answer 14

Addition property of equality

Question 15

A=b a-c=b-c

Answer 15

Subtraction property of equality

Question 16

A=b ac=bc

Answer 16

Multiplication property of equality

Question 17

A=b a/c=b/c

Answer 17

Division property of equality

Question 18

A=b

Answer 18

Substitution property of equality

Question 19

A+ (b+c)=(a+b)+c

A(bc)=(ab)c

Answer 19

Associative property

Question 20

A+b=b+a

Ab+ba

Answer 20

Commutative property

Question 21

A(b+c)=ab+ac

A(b-c)=ab-ac

Answer 21

Distributive property

Question 22

A=a

Answer 22

Reflexive property of equality

Question 23

A=b the b=a

Answer 23

Symmetric property of equality

Question 24

A=b b=c

A=c

Answer 24

Transitive property of equality

Question 25

All right angles are congruent

Answer 25

Right angle theorem

Question 26

A. B. C
——————————————-*
AB+BC=AC

Answer 26

Segment addition postulate

Question 27

M

Answer 27

Angle addition postulate

Question 28

Same number of arcs

Answer 28

Congruent angles

Question 29

Same number of dashes

Answer 29

Congruent line segments

Question 30

2 angles that are supplementary to the same angle, they are congruent

Answer 30

Congruent supplements theorem

Question 31

2 angles are complementary to the same angle, they are congruent

Answer 31

Congruent complements theorem

Question 32

Vertical angles congruent

Answer 32

Verticals angles congruence theorem

Question 33

2 angles are a linear pair, the are supplementary and congruent

Answer 33

Linear pair postulate