- 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 you want to eat dinner, then you must eat at 6pm.
C) If it is time for dinner, then it is 6pm.
- 2. Which is the hypothesis of the following statement? "If you like hockey, then you go to the hockey game."
A) If you go to the hockey game
B) you like hockey
C) you go to the hockey game
D) if you like hockey
- 3. What is the converse of the statement, "If x is odd, then 3x is odd."
A) If 3x is 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 not 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) yes
B) no
- 7. What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."
A) It is a monkey
B) It lives in an aquarium.
C) It lives in a zoo.
D) No counterexample, this is true.
- 8. IS the following statement true? "The equation 4x-3+12+2x has exactly one solution."
A) no
B) yes
- 9. The negation of a statement is the opposite of the original statement.
A) false
B) true
- 10. To write the converse you negate both the hypothesis and the conclusion.
A) true
B) false
- 11. For an if-then statement to be a valid definition both the original statement and its converse must be true.
A) no
B) yes
- 12. If angle CFE is an obtuse angle what is true.
A) Angle CFE is less than 90 degrees.
B) Angle CFE can not be 110 degrees.
C) Angle CFE is supplementary.
D) Angle CFE is greater than 90 degrees.
- 13. What is a valid counterexample for the following conjecture. "The square root of a number x is always less than x.
A) 1
B) 9
C) -1
D) 81
- 14. What is a conjecture?
A) switching the hypothesis and conclusion
B) a guess
C) a false statement
D) unproven statement based on observations
- 15. A specific case of when a conjecture is false is called a(n)?
A) inverse
B) wrong answer
C) negation
D) counterexample
- 16. What is the next number in the following patter? 1, 4, 10, 22, ...
- 17. What is the pattern in the following sequence of numbers and what comes next? 3, 0, -3, -6,...
- 18. What is the pattern of the following numbers and what is the next number? -2, 4, -8, 16,...
- 19. Write the Inverse of the following statement. "If two angles are supplementary, then their sum is 180 degrees.
- 20. Write the contrapositive of the following statement. "If an animal is a panther, then it lives in the forest."
- 21. Write the inverse of the following statement. "If two circles have the same diameter, then they have the same circumference."
- 22. "If a number is divisible by 2 and 3, then it is divisible by 6." Is this statement and its converse both true?
- 23. Write the Inverse of the following statement. "If two angles have the same measure, then they are congruent." Is the inverse true?
- 24. Write the converse of the statement "If two angles have the same measure, then they are congruent." Is the converse a true statement?
- 25. Write the contrapositive of the statement. "If two angles have the same measure, then they are congruent? Is the contrapositive true?
- 26. Is the statement "If two angles have the same measure, then they are congruent." a valid definition? explain
- 27. Write the converse of "If two angles are not adjacent, then they are vertical angles." is the converse true?
- 28. Write the inverse of "If two angles are not adjacent, then they are vertical angles." Is the inverse true?
- 29. Write the contrapositive of "If two angles are not adjacent, then they are vertical angles." Is the contrapositive true?
- 30. Is "If two angles are not adjacent, then they are vertical angles." a valid definition? Explain
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