Geo Unit 2 Lesson 3 Practice

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'If A, then B' and 'If B, then C' are true statements, then 'If A, then C' is also true.

Front

Define the Law of Detachment.

Back

The Law of Detachment states that if 'If A, then B' is a true statement and A is true, then B must also be true.

Front

What is a converse statement?

Back

The converse of a statement 'If A, then B' is 'If B, then A'.

Front

Provide an example of the Law of Syllogism.

Back

If it rains, then the ground gets wet. If the ground gets wet, then the flowers grow. Therefore, if it rains, then the flowers grow.

Front

What can be concluded if 'If A, then B' is true and A is true?

Back

B must also be true.

Front

What is the contrapositive of a statement?

Back

The contrapositive of 'If A, then B' is 'If not B, then not A'.

Front

How do you form a valid conclusion using the Law of Syllogism?

Back

Identify two conditional statements where the conclusion of the first is the hypothesis of the second.

Front

What is the difference between a conditional statement and its converse?

Back

A conditional statement is 'If A, then B', while its converse is 'If B, then A'.

Front

What is an example of a conditional statement?

Back

If it is a dog, then it barks.

Front

What does it mean if a statement is valid?

Back

A statement is valid if it logically follows from the premises provided.