Chapter 1

Question 0

Conclusion

Answer 0

The conclusion is the part of an if-then statement (conditional) that follows then.

Question 1

Biconditional

Answer 1

A biconditional statement is the combination of a conditional statement and it’s converse. A biconditional contains the words “if and only if.”

Question 2

Conditional

Answer 2

A conditional is an if-then statement.

Question 3

Conjecture

Answer 3

A conjecture is a conclusion reached by using inductive reasoning.

Question 4

Contrapositive

Answer 4

The contrapositive of the conditional “if p, then q” is the conditional and its contrapositive always have the same truth value.

Question 5

Converse

Answer 5

The statement obtained by reserving the hypothesis and conclusion of a conditional.

Question 6

Deductive reasoning

Answer 6

Deductive reasoning is a process of reasoning logically from given facts to a conclusion.

Question 7

Hypothesis

Answer 7

In an if-then statement (conditional) the hypothesis is the part that follows if.

Question 8

Inductive reasoning

Answer 8

Inductive reasoning is a type of reasoning that reaches conclusions based on a pattern of specific examples or past events.

Question 9

Inverse

Answer 9

The inverse of the conditional “if p, then q” is the conditional “if not p, then not q.”

Question 10

Negation

Answer 10

The negation of a statement has the opposite meaning of the original statement.

Question 11

Perpendicular bisector

Answer 11

The perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint.

Question 12

Theorem

Answer 12

A theorem is a conjecture that is proven.