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1. |
Which inequality describes all of the possible values for a if is an obtuse angle and m =2a + 8? |
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A. |
41 < a < 86 |
B. |
41 < a > 86 |
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C. |
41 > a > 86 |
D. |
41 > a < 86 |
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Hint |
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2. |
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 form a triangle, then they are noncollinear. |
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B. |
If three points are not noncollinear, then they do not form a triangle. |
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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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3. |
Find the distance from K(0, -1) to the line whose equation is y = 2x + 4. |
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A. |
 |
B. |
2 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Which pair of triangles is congruent by the SSS Postulate? |
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A. |
with vertices A(0, 2), B(-4, 2), and C(-4, -3) and with vertices D(1, 1), E(1, 5), and F(6, 5) |
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B. |
with vertices A(-2, -4), B(-6, 3), and C(-2, 3) and with vertices D(3, 1), E(3, 6), and F(-2, 6) |
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C. |
with vertices A(3, 3), B(3, 7), and C(-1, 7) and with vertices D(0, 5), E(4, 5), and F(4, -2) |
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D. |
with vertices A(0, 7), B(0, 0), and C(-3, 0) and with vertices D(5, 5), E(-2, 5), and F(-2, -2) |
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Hint |
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5. |
Refer to the figure. If is isosceles, which of the following can be used to prove  |
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A. |
SAS Postulate |
B. |
AAS Theorem |
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C. |
ASA Postulate |
D. |
SSS Postulate |
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Hint |
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6. |
The _________ segment from a point to a line or plane is the shortest segment from the point to the line or plane. |
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A. |
consecutive |
B. |
perpendicular |
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C. |
integral |
D. |
parallel |
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Hint |
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7. |
Write an inequality to describe the possible values of x. |
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A. |
x > 20 |
B. |
x > 17 |
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C. |
x < 20 |
D. |
x < 17 |
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Hint |
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8. |
If ABCD is a rhombus and find  |
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A. |
38 |
B. |
104 |
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C. |
142 |
D. |
76 |
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Hint |
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9. |
Given XY = 12 and = 40°, find YZ to the nearest tenth. |
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A. |
9.2 |
B. |
18.7 |
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C. |
7.7 |
D. |
10.1 |
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Hint |
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10. |
In and . Find to the nearest tenth. |
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A. |
54.0 |
B. |
45.5 |
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C. |
62.5 |
D. |
134.5 |
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Hint |
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11. |
If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
What is the value of each of the two sides opposite the congruent angles in the triangle pictured? |
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A. |
39 |
B. |
75 |
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C. |
27 |
D. |
15 |
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Hint |
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13. |
Which one of the triangles shown is not similar to the others? |
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A. |
Y |
B. |
X |
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C. |
W |
D. |
Z |
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Hint |
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14. |
 |
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A. |
11.5 |
B. |
46 |
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C. |
23 |
D. |
32 |
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Hint |
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15. |
Find m IHJ. |
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A. |
117 |
B. |
77.5 |
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C. |
140 |
D. |
125.5 |
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Hint |
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16. |
Find the value of x. |
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A. |
5 |
B. |
4 |
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C. |
2 |
D. |
3 |
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Hint |
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17. |
Find the sum of the measures of the interior angles of a 28-gon. |
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A. |
167 |
B. |
180 |
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C. |
5040 |
D. |
4680 |
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Hint |
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18. |
Determine if a regular dodecagon will tessellate. |
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A. |
No, interior angle is 150 |
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B. |
No, the sum of the interior angles is 2160 |
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C. |
Yes, interior angle is 216 |
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D. |
Yes, the sum of the interior angles is 1800 |
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Hint |
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19. |
Write a truth table for p q. |
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A. |
 |
B. |
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C. |
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D. |
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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. |
2520 |
B. |
3240 |
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C. |
2880 |
D. |
2848 |
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Hint |
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