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- 1. Multiple ChoiceIf it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?2/34/51/23/2
- 2. Multiple ChoiceIf it is an angle, then it is acute. What is an appropriate counterexample?70⁰45⁰120⁰True. There is no counterexample.
- 3. Multiple ChoiceIf it is a number, then it is either positive or negative. What is an appropriate counterexample?10-20True. There is no counterexample.
- 4. Multiple ChoiceTrue or False: a counterexample is an example that makes a definition or conjecture incorrectTrueFalse
- 5. Multiple Choice
Which is a counterexample to the following statement?
If , then is the midpoint of .
None of these
- 6. Multiple Choice
Which is a counterexample to the following statement?
If two angles add up to , then they are a linear pair.None of the above
- 7. Multiple Choice
Which is a counterexample to the following statement?
If you add two numbers, then the sum is odd.
2+5=7
3+2=5
1+8=9
2+4=6
- 8. Multiple Choice
Which is a counterexample to the following statement?
If a number is prime, then it is odd.
29
5
2
1
- 9. Multiple Choice
A counterexample is an example that proves a conjecture to be true.
True
False
- 10. Multiple Choice
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
- 11. Multiple ChoiceTake the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 3, then it is divisible by 6."True91836 - 12. Multiple ChoiceTake the following conditional. If true select true, if false pick the counter example.
"If a number is divisible by 6, then it is divisible by 3."True918.21 - 13. Multiple Choice
Write the statement below as a conditional statement.
Vertical Angles are congruent
Two angles are vertical if and only if they are congruent.
If two angles are congruent, then they are Vertical.
If two angles are Vertical, then they are congruent.
- 14. Multiple Choice
For a conjecture to be true, it must be true...
in most cases.
in all cases.
on Thursday mornings.
at least once.
- 15. Multiple Choice
What is a counterexample?
A generalism that cannot be applied to a specific case
A specific case that help to prove a conjecture
A general case that is supported by specific examples
A specific case for which a conjecture is false
- Answer choicesTagsAnswer choicesTags