
Geometry Ms M._Counterexamples
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Mathematics
9th - 12th Grade

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9 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Determine the truth value of the following statement. If the statement is false, give a counterexample.
The product of two even numbers is even.
false: 8 x 4 = 32
false; 7 x 6 = 42
false; 3 x 10 = 30
true
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If it is a line, then it has a positive slope. What is an appropriate counterexample?
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Provide a counterexample to the statement:
All parallelograms have four right angles.
square
rectangle
rhombus
trapezoid
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If it is an angle, then it is acute. What is an appropriate counterexample?
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Provide a counterexample for the following:
If a number is an integer, then it is odd.
0
1
½
3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If a three-dimensional solid has a circular base, then it is a cone. What is an appropriate counterexample?
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