What are examples of a statements converse, inverse, and contrapositive

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the converse of the statement 'If I ride a roller coaster, then I will get sick'?
If I do not ride a roller coaster, then I will not get sick.
If I get sick, then I rode a roller coaster.
If I do not get sick, then I did not ride a roller coaster.
If I ride a roller coaster, then I will not get sick.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following represents the inverse of the statement 'If I ride a roller coaster, then I will get sick'?
If I do not get sick, then I did not ride a roller coaster.
If I ride a roller coaster, then I will not get sick.
If I get sick, then I rode a roller coaster.
If I do not ride a roller coaster, then I will not get sick.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the contrapositive of the statement 'If I ride a roller coaster, then I will get sick'?
If I do not get sick, then I did not ride a roller coaster.
If I get sick, then I rode a roller coaster.
If I do not ride a roller coaster, then I will not get sick.
If I ride a roller coaster, then I will not get sick.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which statement is logically equivalent to the original conditional statement 'If I ride a roller coaster, then I will get sick'?
None of the above
The contrapositive
The converse
The inverse
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In logical terms, what does the contrapositive of a statement involve?
None of the above
Negating and switching the hypothesis and conclusion
Negating both the hypothesis and conclusion
Switching the hypothesis and conclusion
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