Ch 1 Vocabulary

Question 1

The ___________of the conditional “if p, then q” is the conditional “ if not p then not q”

Answer 1

inverse

Question 2

The _______of a statement is true or false.

Answer 2

Truth Value

Question 3

A ray that divides an angle into two congruent angles

Answer 3

Angle Bisector

Question 4

A convincing argument that uses deductive reasoning

Answer 4

Proof

Question 5

A type of reasoning that reaches conclusions based on a pattern.

Answer 5

Inductive

Question 6

The ______of the conditional “ if p then q” is the conditional “ if not q, then not p”

Answer 6

Contrapositive

Question 7

A geometric figure made with only a straightedge and compass

Answer 7

Construction

Question 8

Deductive reasoning that allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other

Answer 8

Law of Syllogism

Question 9

an If-then statement that relates a hypothesis to a conclusion

Answer 9

Conditional

Question 10

________of a segment, line or ray that is perpendicular to the segment at its midpoint.

Answer 10

Perpendicular bisector

Question 11

An accepted statement of fact

Answer 11

postulate

Question 12

statement obtained by reversing the hypothesis and conclusion of a conditional

Answer 12

converse

Question 13

a conjecture that is proven

Answer 13

theorem

Question 14

The process of reasoning logically from given facts

Answer 14

Deductive reasoning

Question 15

deductive reasoning that allows you to state a conclusion is true, if the hypothesis is true

Answer 15

Law of Detachment

Question 16

the _____of a statement has the opposite meaning

Answer 16

negation

Question 17

an example showing that a statement is false

Answer 17

counterexample

Question 18

A location in space

Answer 18

point

Question 19

A path that connects two points and extends in both directions without end

Answer 19

line

Question 20

two or more points on the same line

Answer 20

collinear

Question 21

A flat surface that extends without end in all directions

Answer 21

plane

Question 22

the point that divides a segment into two congruent segments

Answer 22

midpoint

Question 23

The part of a conditional statement that follows “if”

Answer 23

hypothesis

Question 24

The part of a conditional statement that follows “then”

Answer 24

conclusion

Question 25

a pair of adjacent angles whose noncommon side form a line

Answer 25

linear pair

Question 26

a part of a line that contains two endpoints

Answer 26

segment

Question 27

a part of a line that contains one endpoint and continues without end in the other direction

Answer 27

ray

Question 28

formed by two rays that have a common endpoint(vertex)

Answer 28

angle

Question 29

an unproven statement or rule that is based on inductive reasoning

Answer 29

conjecture

Question 30

combination of a conditional and its converse, it contains the words “if and only if”

Answer 30

biconditional