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- 1. Multiple Choice
Which examples would support the conjecture that the sum of an even integer and an odd integer will be odd? Check all that apply.
2 + 5 = 7
-3 + 4 = 1
6 + -9 = -3
There are only counterexamples.
- 2. Multiple Choice
For a conjecture to be true, it must be true...
in most cases.
in all cases.
on Thursday mornings.
at least once.
- 3. 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
- 4. Multiple Choice
Which of the following is a counterexample to the conjecture that the product of two positive numbers is always greater than either number?
1 x 5 = 5; 5 is not greater than 5
2 x 3 = 6; 6 is greater than 2 and 3
-3 x 4 = -12; -12 is not greater than -3 or 4
-1 x -2 = 2; two is greater than -1 and -2
- 5. Multiple Choice
In order to prove a conjecture false, ...
you need only one counterexample.
you need several counterexamples.
you need to show all cases are false.
- 6. Multiple Choice
According to the graph, which is a reasonable conjecture?
More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.
The number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in Year 9.
There were more girls participating in high school lacrosse in Year 5 than in Year 1.
More girls will participate in lacrosse in the United States during Year 8 than in Sweden.
- 7. Multiple Choice
The 11th figure will be a...
triangle
square
rhombus
circle
- 8. Multiple Choice
How many triangles will be in the next figure?
7
11
9
10
- 9. Multiple Choice
Which of the following provide a counterexample to the claim:
"If two angles are supplementary, then they are not congruent." - 10. Multiple Choice
Which is a counterexample to the following statement?
If an angle is obtuse, then it is . - 11. Multiple ChoiceLet p represent "Daniel is angry", and let q represent "Daniel is not having fun."
Translate the following symbolic form into written form...
p ^ ~ qDaniel is not having fun and Daniel is angry.Daniel is having fun and Daniel is not angry.Daniel is angry and Daniel is having fun.Daniel is angry and Daniel is not having fun. - 12. Multiple ChoiceLet p represent "Daniel is angry", and let q represent "Daniel is not having fun."
Translate the following symbolic form into written form...
~ q ^ pDaniel is not having fun and Daniel is angry.Daniel is having fun and Daniel is angry.Daniel is angry and Daniel is having fun.Daniel is angry and Daniel is not having fun. - 13. Multiple ChoiceThis symbol, ∨, means?andornotimplies
- 14. Multiple ChoiceThis symbol, ∧, means?andornotimplies
- 15. Multiple Choice
Points C,E and B are not collinear and Angle AEC is congruent to Angle DEB. True
Points C,E and B are collinear or Angle AEC is congruent to Angle DEB. True
Points C,E and B are not collinear and Angle AEC is congruent to Angle DEB. False
Points C,E and B are collinear or Angle AEC is congruent to Angle DEB. False
- 16. Multiple Choice
Points C,E, and B are collinear or Angle AEC is not congruent to Angle DEB. False
Points C,E, and B are collinear or Angle AEC is congruent to Angle DEB. True
Points C,E, and B are collinear and Angle AEC is not congruent to Angle DEB. False
Points C,E, and B are not collinear and Angle AEC is not congruent to Angle DEB. True
- 17. Multiple Choice
Angle AEC is congruent to Angle DEB or Angle BEC is an acute angle. True
Angle AEC is congruent to Angle DEB and Angle BEC is an acute angle. True
Angle AEC is congruent to Angle DEB and Angle BEC is an acute angle. False
Angle AEC is congruent to Angle DEB or Angle BEC is an acute angle. False
- 18. Multiple Choice
Points C,E and B are collinear or Ray EF is an angle bisector of Angle AED. True
Points C,E and B are collinear and Ray EF is an angle bisector of Angle AED. False
Points C,E and B are not collinear or Ray EF is an angle bisector of Angle AED. True
Points C,E and B are not collinear and Ray EF is an angle bisector of Angle AED. True
- 19. Multiple Choice
Ray EF is the angle bisector of Angle AED and Angle BEC is an acute angle. False
Ray EF is the angle bisector of Angle AED or Angle BEC is an acute angle. True
Ray EF is the angle bisector of Angle AED or Angle BEC is not an acute angle. True
Ray EF is not the angle bisector of Angle AED and Angle BEC is an acute angle. False
- 20. Multiple Choice
Angle AEC is not congruent to Angle DEB and Angle BEC is not an acute angle. False
Angle AEC is not congruent to Angle DEB and Angle BEC is not an acute angle. True
Angle AEC is congruent to Angle DEB and Angle BEC is not an acute angle. True
Angle AEC is not congruent to Angle DEB or Angle BEC is an acute angle. False
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