Quiz Conditional Statements

What is the correct symbol for the conditional statement?

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What is the correct symbol for the converse statement?

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What is the correct symbol for the inverse statement?

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What is the correct symbol for the contrapositive statement?

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Given “If an angle has a measure of 100°, then it is obtuse.” Identify the hypothesis.

• It is obtuse

• An angle has a measure of 100°

• An angle is obtuse

• An angle

Given “If an angle has a measure of 100°, then it is obtuse.” Identify the conclusion.

• It is obtuse

• An angle has a measure of 100°

• An angle is obtuse

• An angle

Given the conditional statement: “If an angle has a measure of 100°, then it is obtuse.” What is the converse statement?

• If an angle is obtuse, then it has a measure of 100°.

• If an angle does not have a measure of 100°, then it is not obtuse.

• If an angle is not obtuse, then it does not have a measure of 100°.

• If it is obtuse, then it has a measure of 100°

Given the conditional statement: “If an angle has a measure of 100°, then it is obtuse.” What is the inverse statement?

• If an angle is obtuse, then it has a measure of 100°.

• If an angle does not have a measure of 100°, this it is not obtuse.

• If an angle is not obtuse, then it does not have a measure of 100°.

• If it is obtuse, then it has a measure of 100°

Given the conditional statement: “If an angle has a measure of 100°, then it is obtuse.” What is the contrapositive statement?

• If an angle is obtuse, then it has a measure of 100°.

• If an angle does not have a measure of 100°, this it is not obtuse.

• If an angle is not obtuse, then it does not have a measure of 100°.

• If it is obtuse, then it has a measure of 100°

What is a counterexample for the following statement?

“If today is not a weekday, then it is Saturday.”

• Monday

• Friday

• Thursday

• Sunday