- 1. What is the if-then-form of the following Conditional statement? "It is time for dinner if it is 6 pm."
A) If it is 6pm, then it is time for dinner.
B) If it is time for dinner, then it is 6pm.
C) If you want to eat dinner, then you must eat at 6pm.
- 2. Which is the hypothesis of the following statement? "If you like hockey, then you go to the hockey game."
A) if you like hockey
B) you like hockey
C) If you go to the hockey game
D) you go to the hockey game
- 3. What is the converse of the statement, "If x is odd, then 3x is odd."
A) If 3x is not odd, then x is odd.
B) If x is not odd, then 3x is not odd.
C) If 3x is not odd, then x is odd.
D) If 3x is odd, then x is odd.
- 4. Is the following statement true? "If an angle measures 30 degrees, then it is acute."
A) yes
B) no
- 5. Is the inverse of the following statement true? "If an angle measures 30 degrees, then it is acute."
A) no
B) yes
- 6. "If an animal is a panther, then it lives in the forest. Is this a true statement?
A) no
B) yes
- 7. What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."
A) No counterexample, this is true.
B) It lives in an aquarium.
C) It is a monkey
D) It lives in a zoo.
- 8. The negation of a statement is the opposite of the original statement.
A) false
B) true
- 9. To write the converse you negate both the hypothesis and the conclusion.
A) true
B) false
- 10. For an if-then statement to be a valid definition both the original statement and its converse must be true.
A) yes
B) no
- 11. If angle CFE is an obtuse angle what is true.
A) Angle CFE is greater than 90 degrees.
B) Angle CFE can not be 110 degrees.
C) Angle CFE is less than 90 degrees.
D) Angle CFE is supplementary.
- 12. What is a valid counterexample for the following conjecture. "The square root of a number x is always less than x.
A) 81
B) 1
C) -1
D) 9
- 13. What is a conjecture?
A) switching the hypothesis and conclusion
B) a guess
C) a false statement
D) unproven statement based on observations
- 14. A specific case of when a conjecture is false is called a(n)?
A) wrong answer
B) counterexample
C) inverse
D) negation
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