Conditional Statements

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).

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'. It represents a condition that must be met.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'. It represents the result or outcome of the hypothesis being true.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement is formed by switching the hypothesis and conclusion. For example, the converse of 'If P, then Q' is 'If Q, then P'.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition. It shows that the statement is not always true.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement is formed by negating both the hypothesis and conclusion and switching them. For example, the contrapositive of 'If P, then Q' is 'If not Q, then not P'.

Front

How do you determine if a conditional statement is true or false?

Back

A conditional statement is false only if the hypothesis is true and the conclusion is false. In all other cases, it is true.

Front

What is an example of a true conditional statement?

Back

If it is raining, then the ground is wet.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What is an example of a false conditional statement?

Back

If it is snowing, then it is summer.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Tags

CCSS.8.G.A.2