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1. |
Name three points that are collinear. |
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A. |
A, B, D |
B. |
A, D, F |
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C. |
C, D, F |
D. |
A, C, D |
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Hint |
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2. |
How many planes appear in the figure shown? |
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A. |
6 |
B. |
9 |
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C. |
8 |
D. |
7 |
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Hint |
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3. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
definition |
B. |
theorem |
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C. |
proof |
D. |
postulate |
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Hint |
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4. |
A ______________ is a diagram that can be used to illustrate a conditional. |
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A. |
Venn diagram |
B. |
bar graph |
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C. |
tree diagram |
D. |
flow chart |
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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. |
If an object is an equilateral, then it is a square. |
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C. |
If an object is a square, then it is an equilateral. |
D. |
An object is a square. |
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Hint |
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6. |
In the figure shown,  is complementary to  and is complementary to  . Which statement is true if none of the measures of the angles equal 45? |
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A. |
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B. |
is complementary to . |
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C. |
is complementary to itself. |
D. |
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Hint |
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7. |
If and  are vertical angles and  and  find  |
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A. |
72 |
B. |
23 |
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C. |
68 |
D. |
43 |
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Hint |
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8. |
Which figure is not a polygon? |
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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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9. |
The polygon shown is_______. |
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A. |
a quadrilateral |
B. |
concave |
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C. |
regular |
D. |
a hexagon |
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Hint |
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10. |
If m DGE = 52 and FGE is a right angle, what is the measure of DGF? |
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A. |
71 |
B. |
142 |
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C. |
38 |
D. |
45 |
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Hint |
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11. |
The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle. |
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A. |
50 |
B. |
60 |
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C. |
40 |
D. |
130 |
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Hint |
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12. |
For the proof shown, provide statement 3. |
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A. |
AB = CD |
B. |
AB = BA |
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C. |
AB = EF |
D. |
CD = EF |
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Hint |
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13. |
Find AC. |
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A. |
4.9 cm |
B. |
5.0 cm |
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C. |
3.5 cm |
D. |
1.5 cm |
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Hint |
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14. |
Find the perimeter of  with vertices A(4, 6), B(4, -3), and C(-4, -3). |
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A. |
11 units |
B. |
12 units |
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C. |
72 units |
D. |
29 units |
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Hint |
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15. |
The perimeter of regular hexagon UVWXYZ is 87.6 meters. Determine the length of each side. |
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A. |
14.6 m |
B. |
525.6 m |
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C. |
6 m |
D. |
9.4 m |
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Hint |
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16. |
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. |
13 units |
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C. |
54 units |
D. |
28 units |
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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. |
negation |
B. |
truth value |
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C. |
conjunction |
D. |
disjunction |
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Hint |
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18. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
truth value |
B. |
conjunction |
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C. |
negation |
D. |
disjunction |
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Hint |
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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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Hint |
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20. |
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. |
15 |
B. |
40 |
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C. |
55 |
D. |
1 |
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Hint |
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