Question

example 4
identify the hypothesis and conclusion for each conditional statement. then write each statement in if - then form.

1. get a free water bottle with a one - year membership.
2. everybody at the party received a gift.
3. the intersection of two planes is a line.
4. the area of a circle is \\(\pi r^2\\).
5. collinear points lie on the same line.
6. a right angle measures \\(90^\circ\\).

Explanation:

Problem 12:

Step1: Identify Hypothesis and Conclusion

Hypothesis (condition): You get a one - year membership.
Conclusion (result): You get a free water bottle.

Step2: Write in If - Then Form

If you get a one - year membership, then you get a free water bottle.

Problem 13:

Step1: Identify Hypothesis and Conclusion

Hypothesis: A person is at the party.
Conclusion: The person received a gift.

Step2: Write in If - Then Form

If a person is at the party, then the person received a gift.

Problem 14:

Step1: Identify Hypothesis and Conclusion

Hypothesis: Two planes intersect.
Conclusion: Their intersection is a line.

Step2: Write in If - Then Form

If two planes intersect, then their intersection is a line.

Problem 15:

Answer:

Step1: Identify Hypothesis and Conclusion

Hypothesis: An angle is a right angle.
Conclusion: The angle measures \( 90^{\circ} \).

Step2: Write in If - Then Form

If an angle is a right angle, then the angle measures \( 90^{\circ} \).