meredith48034
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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

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Answer:

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.

Step-by-step 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"