2.2 Conditional Statements and Converses

Front

In symbols, an if-then statement can be written as

Back

Front

In an if-then statement, the part following the word "if" is called the

Back

hypothesis

Front

In an if-then statement, the part following the word "then" is called the

Back

conclusion

Front

Hypothesis: the animal is a snake. Conclusion: the animal is a reptile. Write a conditional statement.

Back

If the animal is a snake, then it is a reptile.

Front

Identify the hypothesis: If the measure of an angle is less than ninety degrees, then it is acute.

Back

the measure of an angle is less than ninety degrees

Front

Conclusion of: If the measure of an angle is less than ninety degrees, then it is acute.

Back

it is acute

Front

Write the statement '2x-8=6 implies that x=7' as a conditional.

Back

If 2x-8=6, then x=7.

Front

Write a conditional statement that the Venn diagram illustrates.

Back

If a figure is a trapezoid, then it is a quadrilateral.

Front

An example that will prove a statement is false because it makes the hypothesis true, but the conclusion false.

Back

counterexample

Front

Determine if the conditional is true or false: If a polygon has eight sides, then it is an octagon.

Back

The conditional is true.