HW 2.3

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'p implies q' and 'q implies r', then 'p implies r'.

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if 'p implies q' is true and 'p' is true, then 'q' must also be true.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions.

Front

What does it mean for angles to be congruent?

Back

Angles are congruent if they have the same measure.

Front

If it is Friday, then I will get paid. It is Friday. What can we conclude?

Back

I will get paid.

Front

If a quadrilateral is a rhombus, then it is a parallelogram. What can we conclude about the angles of a rhombus?

Back

The opposite angles of a rhombus are congruent.

Front

What is the conclusion if it is snowing heavily and school is canceled?

Back

The big test will not be given today.

Front

What is the structure of a conditional statement?

Back

A conditional statement has the form 'If p, then q'.

Front

What is the difference between a valid conclusion and an invalid conclusion?

Back

A valid conclusion logically follows from the premises, while an invalid conclusion does not.

Front

What is an example of a conditional statement?

Back

If it rains, then the ground will be wet.