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1. |
How many planes appear in the figure shown? |
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A. |
9 |
B. |
6 |
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C. |
7 |
D. |
8 |
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2. |
Find the coordinates of K, the midpoint of  , if the endpoints of are M(-4,6) and N (2,5). |
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A. |
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B. |
(-2, 6) |
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C. |
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D. |
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3. |
Name a pair of angles that are adjacent, but not complementary or supplementary. |
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A. |
 and |
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B. |
 and |
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C. |
 and |
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D. |
and |
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Hint |
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4. |
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. |
None of the statements are valid conjectures. |
B. |
AB = BD |
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C. |
AB + CD = 12 |
D. |
AB = CD |
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Hint |
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5. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
is exactly 5 feet long. |
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B. |
 intersects  at exactly two points. |
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C. |
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D. |
None of the statements are true. |
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Hint |
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6. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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B. |
False; the square root of a positive number is always a positive number. |
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C. |
False; the square root of 4 is 2 or -2. |
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D. |
True; two answers are always more accurate than one answer. |
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Hint |
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7. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
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A. |
deductive reasoning |
B. |
reasonable doubt |
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C. |
detachment reasoning |
D. |
inductive reasoning |
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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. |
Substitution Property (=) |
B. |
Distributive Property (=) |
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C. |
Reflexive Property (=) |
D. |
Symmetric Property (=) |
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Hint |
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9. |
Find PQ for P(2, 7) and Q(-4, 2). Round to the nearest tenth. |
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A. |
7.8 |
B. |
5.4 |
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C. |
6 |
D. |
-7.8 |
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Hint |
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10. |
Find the coordinate of the midpoint of  |
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A. |
1 |
B. |
-1 |
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C. |
8 |
D. |
4 |
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Hint |
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11. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
theorem |
B. |
possibility |
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C. |
counterexample |
D. |
guess |
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Hint |
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12. |
''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. |
1 and 2 both have a measure of 45. |
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B. |
1 and 2 are congruent. |
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C. |
1 and 2 are not congruent. |
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D. |
Both1 and 2 are obtuse. |
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Hint |
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13. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Symmetric Property |
B. |
Reflexive Property (=) |
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C. |
Transitive Property (=) |
D. |
Distributive Property |
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Hint |
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14. |
For the proof shown, provide statement 3. |
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A. |
CD = EF |
B. |
AB = BA |
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C. |
AB = EF |
D. |
AB = CD |
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Hint |
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15. |
Determine the range for a measurement of 5 yards. |
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A. |
 ft to  ft |
B. |
4 yd to 6 yd |
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C. |
 yd to  yd |
D. |
 ft to ft |
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Hint |
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16. |
The perimeter of regular hexagon UVWXYZ is 87.6 meters. Determine the length of each side. |
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A. |
9.4 m |
B. |
6 m |
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C. |
525.6 m |
D. |
14.6 m |
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Hint |
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17. |
A __________ is a compound statement formed by joining two or more statements with the word and. |
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A. |
disjunction |
B. |
negation |
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C. |
truth value |
D. |
conjunction |
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Hint |
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18. |
Write a truth table for p q. |
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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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19. |
Determine the number of line segments that can be drawn connecting pairs of points shown. |
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A. |
6 |
B. |
4 |
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C. |
8 |
D. |
10 |
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Hint |
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20. |
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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