geometry i think unit 2

Which statement is a biconditional formed from: If an angle is acute, then its measure is less than 90 degrees.

An angle is acute if, and only if, its measure is less than 90 degrees.

What words match this description? a series of reasons that leads to a conclusion

Argument

What words match this description? a compound logic statement made up of two statements joined together with the word "and"

Conjunction

Which statement is a biconditional statement formed from : I will pass Geometry if I complete my homework correctly.

I will pass Geometry if, and only if, I complete my homework correctly.

Which statement is the inverse of: If today is Tuesday, then I have Geometry class.

If today is not Tuesday, then I do not have Geometry class.

Which statement is the contrapositive of: If two angles are vertical angles, then they are not adjacent angles.

If two angles are adjacent angles, then they are not vertical angles.

Choose the best statement about this definition. An animal that is a mammal is a whale.

It could not be rewritten as a true biconditional statement.

Choose the best statement about this definition. A postulate is a statement accepted as true without proof as a basis for reasoning.

It is a good definition.

Choose the best statement about this definition. The measure of an obtuse angle is greater than 90 degrees but less than 180 degrees.

It is a good definition.

Choose the best statement about this definition. A fermion is any particle which obeys the Fermi-Durac statistics.

It is not written in terms that have been previously defined or are clearly understood.

Choose the best statement about this definition. A coordinate is a number.

It uses terminology that is not precise or accurate.

A biconditional statement that is used to describe a geometric object or concept is a _____.

definition

What words match this description? a law of deductive reasoning that states that if a conditional statement is true and its hypothesis is true, then the conclusion will also be true

Law of Detachment

What words match this description? a law of deductive reasoning that states that if two conditional statements are true, and if the conclusion of the first statement is the hypothesis of the second statement, then a conclusion based on the conditional statements will also be true

Law of Syllogism

Is this a valid argument? Given: All football wide receivers eat bacon. Carl eats bacon. Conclusion: Carl is a football wide receiver.

No. This is an improper use of the Law of Detachment.

What words match this description? an argument that uses logic in the form of definitions, properties, and previously proved principles to show that a conclusion is true

Proof

Which statement is a biconditional formed from: If two line segments have the same length, then they are congruent.

Two line segments have the same length if, and only if, they are congruent.

What words match this description? an application of deductive reasoning such that the reasoning is logically correct and undeniably true

Valid argument

Is this a valid argument? Given: If I drive over 60 miles an hour, then I am breaking the law. If I am breaking the law, then I could go to jail. Conclusion: If I drive over 60 miles an hour, then I could go to jail.

Yes. This argument uses the Law of Syllogism.

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is a _____.

conditional statement

vv

vv