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1. |
Which statement explains why  |
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A. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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B. |
All right angles are congruent. |
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C. |
Vertical angles are congruent. |
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D. |
Angles complementary to the same angle or to congruent angles are congruent. |
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Hint |
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2. |
What is a valid conclusion to the following hypothesis? If there are two points... |
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A. |
There are no lines containing both points. |
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B. |
There are two lines containing both points. |
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C. |
There are an infinite number of lines containing both points. |
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D. |
There is one line containing both points. |
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Hint |
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3. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
WXYZ has four right angles. |
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B. |
If WXYZ has four right angles, then it is a square. |
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C. |
If WXYZ is not a square, then it does not have four right angles. |
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D. |
If WXYZ is not a square, then it has four right angles. |
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Hint |
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4. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment? |
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A. |
Both 1 and 2 are obtuse. |
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B. |
1 and 2 are not congruent. |
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C. |
1 and 2 are congruent. |
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D. |
1 and 2 both have a measure of 45. |
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Hint |
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5. |
Which statement explains why  |
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A. |
All right angles are congruent. |
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B. |
If the sum of the measures of two angles is 180, then they are supplementary. |
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C. |
Angles supplementary to the same angle are congruent. |
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D. |
If two angles form a linear pair, then they are supplementary. |
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Hint |
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6. |
Identify the hypothesis in the following algebraic statement: If 3x + 10 = 13, then x = 1. |
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A. |
x = 1 |
B. |
3x |
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C. |
3x + 10 = 13 |
D. |
3x + 10 |
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Hint |
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7. |
Find the next three terms in the sequence 10, 15, 25, 40, …. |
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A. |
65, 100, 145 |
B. |
45, 50, 55 |
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C. |
55, 70, 85 |
D. |
60, 85, 115 |
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Hint |
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8. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
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A. |
none of the above |
B. |
p = 4 |
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C. |
p = 3 |
D. |
p = 2 |
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Hint |
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9. |
How is 5 is an element of set C written in set notation? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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10. |
Which set notation means that 4 is an element of {3,4,5,6}? |
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A. |
4 {3,4,5,6} |
B. |
4 {3,4,5,6} |
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C. |
4 {3,4,5,6} |
D. |
4 {3,4,5,6} |
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Hint |
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11. |
If A = {-2, -1, 0, 1, 2} and a subset of A, B = {-2, -1}, what is B'? |
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A. |
B'={-2,-1,0,1,2,3} |
B. |
B'={-2,-1} |
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C. |
B'={0,1,2} |
D. |
B'={1,2,3} |
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Hint |
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12. |
If and Which shows  |
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A. |
{1,3} |
B. |
{-2, -1, 0, 1, 3} |
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C. |
{-2, -1, 0, 1, 3, 5} |
D. |
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Hint |
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13. |
What is the contrapositive of the conditional If it is September, then there are 30 days in the month? |
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A. |
If it is September then there are not 30 days in the month. |
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B. |
If there are not 30 days in the month, then it is not September. |
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C. |
If it is not September then there are not 30 days in the month. |
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D. |
If there are 30 day in the month, then it is September. |
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Hint |
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14. |
What is the converse of the conditional If it is September, then there are 30 days in the month? |
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A. |
If there are not 30 days in the month, then it is not September. |
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B. |
If it is not September then there are not 30 days in the month. |
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C. |
If there are 30 day in the month, then it is September. |
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D. |
If it is September then there are not 30 days in the month. |
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Hint |
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