Question

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1. Underline the hypothesis and circle the conclusion in the following conditional statement. Then rewrite the conditional statement in if-then form.

a. All 120° angles are obtuse angles.

2. Write the negation of the following statement:
a. It is raining

Answer 1

1. Hypothesis: "All 120° angles"

Conclusion: "are obtuse angles"

If-then statement: If an angle measures 120°, then it is an obtuse angle.

2. It is not raining.

Explanation:

Question 1

Conditional statement

"If this happens, then that will happen."

• Hypothesis: The part after the "if".
• Conclusion: The part after the "then".

For the statement "All 120° angles are obtuse angles":

• Hypothesis: "All 120° angles"
• Conclusion: "are obtuse angles"

Therefore, the statement written in the if-then form is:

• If an angle measures 120°, then it is an obtuse angle.

Question 2

Given statement:

• "It is raining"

The definition of a negation of a statement is the opposite of the given statement. For example, the negation of statement "p" is "not p."

Therefore, the negation of the given statement is:

• "It is not raining"