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1. |
Name three points that are collinear. |
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A. |
A, D, F |
B. |
A, C, D |
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C. |
C, D, F |
D. |
A, B, D |
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Hint |
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2. |
Justify step 2 in solving  |
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A. |
Subtraction Property (=) |
B. |
Multiplication Property (=) |
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C. |
Distributive Property (=) |
D. |
Division Property (=) |
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Hint |
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3. |
What is the measure of each angle of an equilateral triangle? |
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A. |
60° |
B. |
90° |
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C. |
30° |
D. |
45° |
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Hint |
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4. |
In isosceles with base and Find the measure of  |
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A. |
42 |
B. |
34 |
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C. |
96 |
D. |
52 |
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Hint |
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5. |
Find the value of x. |
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A. |
11 |
B. |
7 |
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C. |
 |
D. |
8 |
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Hint |
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6. |
What is the geometric mean between and 12? |
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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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7. |
If tan B = 1.6732, what is the measure of B to the nearest tenth of a degree? |
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A. |
33.9° |
B. |
1.7° |
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C. |
59.1° |
D. |
30.9° |
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Hint |
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8. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
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A. |
The result of doubling 317 is an even number. |
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B. |
If you double an odd number, the result is another odd number. |
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C. |
When you triple a number, the result must be an even number. |
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D. |
The result of doubling 234 is an odd number. |
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Hint |
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9. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
Assume what you are trying to prove is true. |
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B. |
If possible, draw a diagram to illustrate the given information. |
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C. |
State the theorem to be proved. |
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D. |
List the given information. |
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Hint |
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10. |
Two triangles are necessarily congruent if and only if __________. |
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A. |
their corresponding angles are congruent. |
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B. |
their corresponding sides and corresponding angles are congruent. |
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C. |
two of their sides are congruent. |
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D. |
their corresponding sides and corresponding angles are congruent, and they are rotated to the same position. |
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Hint |
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11. |
Which postulate can be used to prove the triangles congruent? |
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A. |
SSS Postulate |
B. |
ASA Postulate |
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C. |
AAA Postulate |
D. |
SAS Postulate |
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Hint |
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12. |
Find the value of x. |
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A. |
10 |
B. |
20 |
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C. |
13 |
D. |
26 |
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Hint |
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13. |
Name the property that justifies if a < b, then a + c < b + c. |
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A. |
Comparison Property |
B. |
Addition Property |
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C. |
Subtraction Property |
D. |
Transitive Property |
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Hint |
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14. |
The coordinates of three vertices of a rectangle are (0, 4), (2, 3), and (-1, -3). What is the fourth vertex? |
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A. |
(-3, -2) |
B. |
(-3, 0) |
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C. |
(-3, 10) |
D. |
(-3, -4) |
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Hint |
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15. |
In the figure of the rectangle, which pair of angles is not necessarily complementary? |
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A. |
2 and 3 |
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B. |
5 and 6 |
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C. |
3 and 8 |
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D. |
1 and 7 |
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Hint |
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16. |
If bisects ABC and ADC, and P is the midpoint of , then ABCD can be most precisely defined as a _______. |
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A. |
square |
B. |
rectangle |
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C. |
quadrilateral |
D. |
rhombus |
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Hint |
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17. |
In the triangle, tan C = _____. |
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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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18. |
In GIF, m I = 72, I = 23, and g = 19. Find f to the nearest tenth. |
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A. |
19 |
B. |
20.1 |
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C. |
26.3 |
D. |
27.8 |
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Hint |
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19. |
Mike and Veronica are camping, and they have decided to build a small tower at their campsite, using just ropes and wooden poles. One of the poles is 11 feet long, and they want to anchor it into the ground with a rope. One end of the rope will be attached to the top of the pole, and the other end will be anchored in the ground in a spot 15 feet from the base of the pole. If they want the pole to lean away from the anchor at an 80° angle with the ground, how far will the rope have to reach, to the nearest tenth of a foot? |
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A. |
22.5 feet |
B. |
12.7 feet |
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C. |
20.1 feet |
D. |
17 feet |
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Hint |
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20. |
The statement if  , then demonstrates which property of congruence? |
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A. |
Symmetric Property |
B. |
Transitive Property |
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C. |
Identity Property |
D. |
Reflexive Property |
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Hint |
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