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1. |
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. |
postulate |
B. |
proof |
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C. |
definition |
D. |
theorem |
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Hint |
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2. |
Identify the hypothesis of the following if-then statement. If Ralph does his math homework, then he will get a good grade on the quiz. |
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A. |
He will get a good grade on the quiz. |
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B. |
He will not get a good grade on the quiz. |
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C. |
Ralph may do his math homework. |
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D. |
Ralph does his math homework. |
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Hint |
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3. |
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. |
inductive reasoning |
B. |
reasonable doubt |
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C. |
detachment reasoning |
D. |
deductive reasoning |
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Hint |
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4. |
For the proof shown, provide the reason for part c. |
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A. |
Multiplication Property of Equality |
B. |
Subtraction Property of Equality |
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C. |
Division Property of Equality |
D. |
Addition Property of Equality |
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Hint |
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5. |
Which of the following means that the distance between two lines measured along a perpendicular line to the line is always the same? |
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A. |
equilibrate |
B. |
equivalent |
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C. |
equilateral |
D. |
equidistant |
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Hint |
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6. |
by the _______________. |
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A. |
SSA Postulate |
B. |
SAS Postulate |
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C. |
SSS Postulate |
D. |
ASA Postulate |
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Hint |
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7. |
In a triangle, the ratio of the measures of the sides is 2:3:4 and the perimeter is 72. Find the measures of the sides of the triangle. |
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A. |
16, 24, 32 |
B. |
20, 22, 30 |
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C. |
14, 21, 28 |
D. |
18, 27, 27 |
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Hint |
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8. |
In the figure, ________. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Find XY on the number line shown. |
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A. |
7 |
B. |
4 |
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C. |
0 |
D. |
-7 |
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Hint |
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10. |
Find x if Q is the midpoint of PQ = 19, and PR = 8x + 14. |
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A. |
3 |
B. |
7 |
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C. |
14 |
D. |
 |
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Hint |
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11. |
If two angles form a linear pair, they are _______. |
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A. |
vertical |
B. |
congruent |
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C. |
supplementary |
D. |
complementary |
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Hint |
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12. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
guess |
B. |
possibility |
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C. |
theorem |
D. |
counterexample |
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Hint |
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13. |
Which pair of triangles is congruent by the SAS Postulate? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Refer to the figure. If is perpendicular to both and , and , then ABG ________ by _________. |
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A. |
FEG by AAS |
B. |
EFG by AAS |
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C. |
EFG by ASA |
D. |
FEG by ASA |
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Hint |
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15. |
The measures of the diagonals of an isosceles trapezoid are 3x + 7 and 5x - 11, respectively. Find the value of x. |
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A. |
3 |
B. |
5 |
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C. |
7 |
D. |
9 |
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Hint |
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16. |
Sierpinski's Triangle is not _________. |
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A. |
the same as Pascal's Triangle |
B. |
self-similar |
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C. |
a fractal |
D. |
strictly self-similar |
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Hint |
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17. |
In ABC, m A = 45, a = 9, and c = 11. Find m C to the nearest tenth. |
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A. |
30.2 |
B. |
54.7 |
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C. |
59.8 |
D. |
35.3 |
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Hint |
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18. |
State the assumption that could be used to start an indirect proof of the statement If 2n < 6, then n < 3. |
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A. |
n > 3 |
B. |
n = 3 |
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C. |
n < 3 |
D. |
n 3 |
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Hint |
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19. |
ARCHITECTURE The observation deck of the John Hancock Center is 1030 feet above the ground. The Skydeck of the Sears Tower is 1335 feet above the ground. The John Hancock Center is 1.7 miles from the Sears Tower. What is the angle of elevation of someone standing on the observation deck of the John Hancock Center looking up to the Skydeck of the Sears Tower? |
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A. |
1.9° |
B. |
6.5° |
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C. |
37.7° |
D. |
8.5° |
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Hint |
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20. |
Find the sum of the measures of the interior angles of a regular 16-gon. |
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A. |
2880 |
B. |
3240 |
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C. |
2520 |
D. |
2848 |
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Hint |
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