Unit 3 (if-then) (SOL G.1)

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where one proposition (the hypothesis) implies the other (the conclusion).

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

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

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

How do you write a conditional statement from a given fact?

Back

To write a conditional statement, identify the hypothesis and conclusion. For example, 'Vertical angles are congruent' can be written as 'If two angles are vertical, then they are congruent.'

Front

What is the relationship between a statement and its contrapositive?

Back

A statement and its contrapositive are logically equivalent, meaning they have the same truth value.

Front

What is an example of a conditional statement?

Back

An example of a conditional statement is: 'If it rains, then the ground will be wet.'

Front

What is the difference between a hypothesis and a conclusion in a conditional statement?

Back

The hypothesis is the part after 'if,' and the conclusion is the part after 'then.' For example, in 'If it is Saturday, then the school is closed,' 'it is Saturday' is the hypothesis and 'the school is closed' is the conclusion.

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

How do you determine the truth value of a conditional statement?

Back

A conditional statement is false only when the hypothesis is true and the conclusion is false; otherwise, it is true.