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1. |
Find the mode of {325, 100, 115, 621, 325, 325, 100}. |
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A. |
115 |
B. |
273 |
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C. |
325 |
D. |
100 |
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Hint |
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2. |
In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D? |
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A. |
AB + CD = 12 |
B. |
None of the statements are valid conjectures. |
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C. |
AB = BD |
D. |
AB = CD |
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Hint |
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3. |
Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils. |
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A. |
If the flowers are not yellow, then they are not daffodils. |
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B. |
If the flowers are daffodils, then they are yellow. |
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C. |
The flowers are not yellow. |
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D. |
The flowers are not daffodils. |
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Hint |
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4. |
Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle. |
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A. |
If three points are not noncollinear, then they do not form a triangle. |
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B. |
If three points form a triangle, then they are noncollinear. |
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C. |
If three points do not form a triangle, then they are noncollinear. |
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D. |
If three points do not form a triangle, then they are not noncollinear. |
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Hint |
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5. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
An object is a rhombus. |
B. |
An object is a square. |
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C. |
If an object is an equilateral, then it is a square. |
D. |
If an object is a square, then it is an equilateral. |
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Hint |
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6. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
If the numbers 8 and 24 are even, then their sum is 32. |
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B. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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C. |
The sum of 8 and 24 must be even. |
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D. |
The sum of 8 and 24 must be odd. |
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Hint |
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7. |
Which property of equality justifies the statement
if x – 2 = 9, then x = 11? |
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A. |
Addition Property of Equality |
B. |
Symmetric Property of Equality |
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C. |
Transitive Property of Equality |
D. |
Multiplication Property of Equality |
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Hint |
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8. |
Name the property of equality that justifies the following statement.
If CD = MN and CD = RS, then MN = RS. |
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A. |
Symmetric Property (=) |
B. |
Substitution Property (=) |
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C. |
Distributive Property (=) |
D. |
Reflexive Property (=) |
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Hint |
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9. |
All right angles are ____________. |
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A. |
congruent |
B. |
transitive |
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C. |
180° |
D. |
complementary |
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Hint |
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10. |
Find m MOP if mMON = 4x + 9 and mMOP = 3x - 3. |
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A. |
33 |
B. |
57 |
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C. |
12 |
D. |
45 |
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Hint |
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11. |
Make a conjecture based on the following information. M is obtuse. |
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A. |
mM is not 180 |
B. |
M is straight |
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C. |
mM = 30 |
D. |
M is acute |
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Hint |
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12. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, multiplication, and division |
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B. |
reflexive, symmetric, and substitution |
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C. |
addition, subtraction, and multiplication |
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D. |
reflexive, symmetric, and transitive |
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Hint |
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13. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
conjunction |
B. |
negation |
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C. |
disjunction |
D. |
truth value |
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Hint |
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14. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied both Spanish and French? |
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A. |
1 |
B. |
55 |
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C. |
40 |
D. |
15 |
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Hint |
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15. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
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A. |
If two planes intersect, then their intersection is a line. |
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B. |
Through any three points not on the same line, there is exactly one plane. |
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C. |
Through any two points, there is exactly one line. |
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D. |
If two lines intersect, then their intersection is exactly one point. |
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Hint |
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16. |
A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began? |
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A. |
7 |
B. |
15 |
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C. |
21 |
D. |
42 |
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Hint |
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17. |
Which postulate states that if B is between A and C, then AB + BC = AC? |
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A. |
Whole Segment Postulate |
B. |
Segment Addition Postulate |
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C. |
Addition Property of Congruence |
D. |
Ruler Postulate |
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Hint |
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18. |
If  and  form a linear pair and m = 72, find m. |
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A. |
144 |
B. |
18 |
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C. |
72 |
D. |
108 |
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Hint |
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