26. Jenny asked her friend Jacky to help her write the contrapositive of the statement "If you are a second year
student, then you are a sophomore".
To write it correctly, which of the following should be the answer of Jacky?
A. If you are not second year student, then you are a sophomore.
B. If you are not a sophomore, then you are a second year student
C. If you are not a second year student, then you are not a sophomore.
D. If you are not a sophomore, then you are not a second year student
27. Karl was asked by his Mathematics teacher to write the inverse form of the statement If you are a second
year student, then you are a sophomore".
His answer is written this way "If you are a sophomore, then you are a second year student". What can you
conclude about the answer of Karl?
A. His answer is correct, since it is in the inverse form.
B. His answer is wrong, since it is in converse form.
C. His answer is wrong, since it is in contrapositive form.
D. His answer is correct since it is in conditional (if-then) form.
28. What do you call the statements having the same corresponding truth values?
A. congruent
B. equal
C. equivalent D. similar
29. Which of the following is equivalent to an if-then statement?
A. contrapositive
B. Converse
C. hypothesis
D. inverse
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Answers & Comments
Answer:
26. C.
27. B.
28. A.
29. A.