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CE Example
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
1) Linear pairs of angles always total 180 degrees in measure.
2) Birds can't swim.
3) Poems always rhyme.
4) The sum of two positive numbers is always bigger than either one.
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CE Worksheet
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
5) Even numbers always end in 0, 2, 4, 6, or 8.
6) Linear equations always have a variable called 'x'.
7) Multiplying a negative number by a positive number always gives you a negative.
8) The sum of two numbers is always bigger than either one.
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CE Quizlet Version 3
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
9) All odd numbers are prime.
10) The product of two positive whole numbers is always bigger than either one.
11) All South and Central American countries have Spanish as their primary language. HINT: False.
12) Squares are always quadrilaterals.
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CE Quizlet Version 4
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
13) The sides of a square are always the same length as each other.
14) Tigers live only in Asia.
15) The square root of a number is always smaller than the number. HINT: This is FALSE. Find a
counterexample.
16) Linear pairs of angles always total 180 degrees in measure.
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CE Quizlet Version 5
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
17) The sum of two positive numbers is always bigger than either one.
18) The product of two positive whole numbers is always bigger than either one.
19) If A, B, and C are collinear, then AC is greater than either AB or BC.
20) Quadrilaterals are always squares.
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CE Quizlet Version 6
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
21) All right angles measure 90 degrees.
22) If the sides of a quadrilateral are the same length, it must be a square.
23) The sides of a square are always the same length as each other.
24) All perfect squares are positive.
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CE Quizlet Version 7
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
25) Even numbers always end in 0, 2, 4, 6, or 8.
26) Linear pairs of angles always total 180 degrees in measure.
27) Quadrilaterals are always squares.
28) The square root of a number is always smaller than the number. HINT: This is FALSE. Find a
counterexample.
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CE Quizlet Version 8
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
29) The absolute value of a number is always positive.
30) The product of two positive whole numbers is always bigger than either one.
31) Multiples of 3 always end in 3, 6, or 9.
32) Triangles always have three sides.
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CE Quizlet Version 9
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
33) All birds can fly.
34) Vertical Angles are always congruent.
35) All perfect squares are positive.
36) The sides of a square are always the same length as each other.
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CE Quizlet Version 10
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
37) All right angles measure 90 degrees.
38) The square of every whole number is another whole number.
39) Quadrilaterals are always squares.
40) Vertical angles always total 180 degrees in measure.
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CE Quizlet Version 11
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
41) The absolute value of a number is always positive.
42) Adding two negative numbers always gives you a negative number.
43) The square of every whole number is another whole number.
44) Multiples of 25 always end in 25, 50, 75, or 00.
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CE Quizlet Version 12
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
45) Birds can't swim.
46) Quadrilaterals are always squares.
47) Squares are always quadrilaterals.
48) Dividing one negative number by another always gives you a positive number.
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CE Quizlet Version 13
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
49) All birds can fly.
50) Line segments always have a positive length.
51) Dividing one negative number by another always gives you a positive number.
52) All perfect squares are positive.
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CE Quizlet Version 14
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
53) Mr. Feist always wears math ties to school.
54) Triangles always have three sides.
55) 0
56) Every number has a reciprocal.
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CE Quizlet Version 15
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
57) 0
58) Linear Pairs of angles are always congruent to each other.
59) Triangles always have three sides.
60) Tigers live only in Asia.
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CE Quizlet Version 16
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
61) Vertical angles always total 180 degrees in measure.
62) All mammals have four legs.
63) Triangles always have three sides.
64) Positive numbers are always greater than zero.
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CE Quizlet Version 17
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
65) Line segments always have a positive length.
66) If the sides of a quadrilateral are the same length, it must be a square.
67) Multiples of 3 always end in 3, 6, or 9.
68) Vertical Angles are always congruent.
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CE Quizlet Version 18
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
69) Linear pairs of angles always total 180 degrees in measure.
70) Poems always rhyme.
71) H2O is a liquid. (Sorry about the lack of a subscript for the 2.)
72) Mr. Feist always wears math ties to school.
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CE Quizlet Version 19
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
73) Tigers live only in Asia.
74) All right angles measure 90 degrees.
75) Odd numbers always end in 1, 3, 5, 7, or 9.
76) All birds can fly.
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CE Quizlet Version 20
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
77) Multiples of 25 always end in 25, 50, 75, or 00.
78) The product of two positive whole numbers is always bigger than either one.
79) If A, B, and C are collinear, then AC is greater than either AB or BC.
80) Even numbers always end in 0, 2, 4, 6, or 8.
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CE Quizlet Version 21
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
81) All South and Central American countries have Spanish as their primary language. HINT: False.
82) 0
83) Tigers live only in Asia.
84) Even numbers always end in 0, 2, 4, 6, or 8.
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CE Quizlet Version 22
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
85) Multiples of 25 always end in 25, 50, 75, or 00.
86) Mr. Feist always wears math ties to school.
87) Odd numbers always end in 1, 3, 5, 7, or 9.
88) Multiplying a negative number by a positive number always gives you a negative.
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CE Quizlet Version 23
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
89) Multiplying two negative numbers always gives you a positive number.
90) The sides of a square are always the same length as each other.
91) The square root of a number is always smaller than the number. HINT: This is FALSE. Find a
counterexample.
92) Every number has a reciprocal.
Name:_____________________________________________Date:________________Period:________
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CE Quizlet Version 24
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
93) Mr. Feist always wears math ties to school.
94) Multiplying two negative numbers always gives you a positive number.
95) All perfect squares are positive.
96) The sum of two positive numbers is always bigger than either one.
Name:_____________________________________________Date:________________Period:________
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CE Quizlet Version 25
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
97) 1/x is never equal to x.
98) Even numbers always end in 0, 2, 4, 6, or 8.
99) Dividing one negative number by another always gives you a positive number.
100)
If A, B, and C are collinear, then AC is greater than either AB or BC.
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CE Quizlet Version 26
Section 2.1, Counterexamples
For each problem, if the conjecture is true, write TRUE. If it is false, write FALSE, and include a
counterexample. In each quizlet, two problems will be true and two will be false.
101)
Multiplying a negative number by a positive number always gives you a negative.
102)
Every fraction can be written as a terminating decimal.
103)
The sum of two positive numbers is always bigger than either one.
104)
Mr. Feist always wears math ties to school.