Logic and Line Relationships

What is the process of reaching a specific valid conclusion based on general facts, rules, definitions, or properties?

• Inductive reasoning

• Deductive reasoning

• Conditional statement

• Counterexample

What is the process of reaching a conclusion based on a pattern of examples?

• Deductive reasoning

• Inductive reasoning

• Proof

• Hypothesis

A(n) _______ is a compound statement that consists of a premise or hypothesis, and a conclusion, which is false only when its premise is true and its conclusion is false.

• A) Conditional statement

• B) Proof

• C) Transversal

• D) Equidistant

An example that contradicts the conjecture showing that the conjecture is not always true is known as a(n) _______.

• Hypothesis

• Conclusion

• Counterexample

• Proof

In a conditional statement in if-then form, the _______ is the statement that immediately follows the word if, and the _______ is the statement that immediately follows the word then.

• A) Hypothesis, Conclusion

• B) Conclusion, Hypothesis

• C) Proof, Counterexample

• D) Transversal, Equidistant

A(n) _______ is a logical argument in which each statement is supported by a statement that is accepted as true.

• Proof

• Hypothesis

• Transversal

• Skew

_______ lines are coplanar lines that do not intersect.

• Skew

• Parallel

• Transversal

• Equidistant

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

The ________ is formed by exchanging the hypothesis and conclusion of the conditional.

• Converse

• Inverse

• Contrapositive

• Conditional

The ________ is formed by negating both the hypothesis and conclusion of the conditional.

• Converse

• Inverse

• Contrapositive

• Conjunction

The _________ is formed by negating both the hypothesis and the conclusion of the converse of the conditional.

• Inverse

• Converse

• Contrapositive

• Disjunction