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, typically written in the form 'If p, then q'.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is a quadrilateral?

Back

A quadrilateral is a polygon with four sides.

Front

What is a rhombus?

Back

A rhombus is a type of quadrilateral where all four sides are of equal length.

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What is the conclusion of the statement: 'If it is Friday, then I will get paid. It is Friday.'?

Back

I will get paid.

Front

Using the Law of Syllogism, what can be concluded from: 'If it is snowing heavily, then school will be canceled.' and 'If school is canceled, the big test will not be given today.'?

Back

The big test will not be given today.

Front

What is the contrapositive of a statement?

Back

The contrapositive of 'If p, then q' is 'If not q, then not p'.