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1. |
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 = BD |
B. |
AB + CD = 12 |
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C. |
None of the statements are valid conjectures. |
D. |
AB = CD |
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2. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
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B. |
None of the statements are true. |
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C. |
is exactly 5 feet long. |
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D. |
 intersects  at exactly two points. |
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3. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
False; the square root of 4 is 2 or -2. |
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B. |
True; two answers are always more accurate than one answer. |
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C. |
False; the square root of a positive number is always a positive number. |
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D. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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Hint |
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4. |
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. |
inductive reasoning |
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C. |
reasonable doubt |
D. |
detachment reasoning |
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5. |
Complete the proof. |
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A. |
Transitive Property |
B. |
Angle Addition Property |
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C. |
Substitution Property (=) |
D. |
Addition Property (=) |
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6. |
For the proof shown, provide the reason for part c. |
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A. |
Addition Property of Equality |
B. |
Subtraction Property of Equality |
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C. |
Multiplication Property of Equality |
D. |
Division Property of Equality |
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Hint |
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7. |
All right angles are ____________. |
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A. |
complementary |
B. |
transitive |
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C. |
180° |
D. |
congruent |
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Hint |
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8. |
If  and  form a linear pair and  find  |
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A. |
86 |
B. |
106 |
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C. |
76 |
D. |
96 |
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9. |
Which statement explains why  |
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A. |
All right angles are congruent. |
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B. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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C. |
Angles complementary to the same angle or to congruent angles are congruent. |
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D. |
Vertical angles are congruent. |
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10. |
Which of the following statements is true? |
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A. |
 intersects plane M at point B. |
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B. |
The intersection of and plane M is  . |
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C. |
intersects plane M in two points. |
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D. |
intersects plane M at point C. |
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Hint |
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11. |
Which segment does not have a measure of 5? |
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A. |
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B. |
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C. |
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D. |
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12. |
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? |
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A. |
The team finished 5th in their conference. |
B. |
The team was undefeated. |
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C. |
The team played 19 games.. |
D. |
The team won their last 5 games. |
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13. |
What is the negation of the conclusion of the following conditional?
All birds can fly. |
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A. |
It can fly. |
B. |
It is a bird |
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C. |
It is not a bird. |
D. |
It cannot fly. |
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14. |
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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15. |
Find AC. |
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A. |
1.5 cm |
B. |
4.9 cm |
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C. |
5.0 cm |
D. |
3.5 cm |
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16. |
Find XY. |
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A. |
 in. |
B. |
 in. |
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C. |
 in. |
D. |
 in. |
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17. |
Find the perimeter of  with vertices A(4, 6), B(4, -3), and C(-4, -3). |
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A. |
72 units |
B. |
29 units |
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C. |
12 units |
D. |
11 units |
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18. |
What is the perimeter of rectangle GHIJ with vertices G(-7, -3), H(-7, 3), I(1, 3), and J(1, -3)? |
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A. |
48 units |
B. |
54 units |
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C. |
13 units |
D. |
28 units |
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19. |
Construct 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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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. |
21 |
B. |
42 |
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C. |
7 |
D. |
15 |
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Hint |
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