If-Then Statements

If Roehm speeds in his car, then he will get a traffic ticket. Identify the hypothesis.

• He will get a traffic ticket.

• Roehm will get away, he is too fast.

• Roehm speeds in his car.

• He doesn't speed

Identify the conclusion in the following statement: If Jodi goes to the beach, then she will put on sunblock.

• She will put on sunblock.

• Jodi doesn't go to the beach.

• Jodi goes to the beach.

• She will go swimming.

Rewrite the following as a conditional statement:

Hypothesis-You work 2 hours of overtime

Conclusion - You will earn more money.

• If you earn more money, then you worked 2 hours of overtime.

• If you didn't work 2 hours of overtime, then you didn't earn more money.

• If you didn't earn more money, then you didn't work 2 hours of overtime.

• If you work 2 hours of overtime, then you will earn more money.

Rewrite this statement in "If-Then" form:

Students go to school on weekdays.

• If it is Saturday, students do not go to school.

• If it is a weekday, then the students go to school.

• If the students are not in school, then it is not a weekday.

• School? What's that?

Rewrite the following in If-Then form:

All vertical angles are congruent.

• If angles are congruent, then they are vertical angles.

• If the angles are not congruent, then then are vertical angles.

• If the angles are vertical angles, then they are congruent.

• I like supplementary angles.

Tags

CCSS.HSG.CO.C.9

Give a counterexample to the following statement:

If it's a planet, then it is smaller than the Earth.

• Mercury

• Earth

• The Moon

• Jupiter

Give a counterexample to the following statement:

If it is a fruit, then it is an apple.

• Apple

• Orange

• Broccoli

• Carrots

Write the converse of the statement:

If you are VHS student, then you are a Bulldog.

• If you are a VHS student, then you are not a Bulldog.

• If you are a Bulldog, then you are a VHS student.

• You are an Otsego Bulldog.

• If you are not a VHS student, then you are not a Bulldog.

Write the converse of the statement:

If you are in the marching band, then you do not have 7th hour seminar.

• If you do not have 7th hour seminar, then you are in the marching band.

• If you are in the marching band, then you have 7th hour seminar.

• If you are not in the marching band, then you do not have 7th hour seminar.

• If you are in the marching band, then you do not have 7th hour seminar.

Write the bi-conditional statement of:

If M is the midpoint of AB, then AM=MB.

• If AM=MB, then M is the midpoint of AB.

• If M is not the midpoint of AB, then AM=MB.

• M is not the midpoint of AB if and only if AM is not equal to MB.

• M is the midpoint of AB if and only if AM=MB.