Conditional Statement Practice***

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part).

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'p if and only if q'.

Front

Rewrite the statement: 'Supplementary angles add up to 180 degrees' as a biconditional.

Back

Two angles are supplementary if and only if the sum of the measure of the two angles is 180 degrees.

Front

What is the contrapositive of a conditional statement?

Back

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

Front

Identify the contrapositive of: 'If angles are congruent, then the measures of the angles are equal.'

Back

If the measures of the angles are not equal, then the angles are not congruent.

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If p, then q' is 'If q, then p'.

Front

Identify the converse of: 'If angles are congruent, then the measures of the angles are equal.'

Back

If the measures of the angles are equal, then the angles are congruent.

Front

What is a conclusion in logic?

Back

A conclusion is a statement that follows logically from the premises or conditions given.

Front

Draw a conclusion from: 'If you live in Orlando, then you live in Florida. You live in Orlando.'

Back

You live in Florida.

Front

What is the relationship between a conditional statement and its contrapositive?

Back

A conditional statement and its contrapositive are logically equivalent; if one is true, the other is also true.