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1. |
Find FG on the number line shown. |
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A. |
9 |
B. |
4.5 |
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C. |
6.5 |
D. |
5.5 |
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Hint |
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2. |
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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3. |
Justify step 2 in solving  |
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A. |
Division Property (=) |
B. |
Distributive Property (=) |
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C. |
Multiplication Property (=) |
D. |
Subtraction Property (=) |
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Hint |
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4. |
For the proof shown, provide statement 5. |
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A. |
AB = EF |
B. |
AC = DF |
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C. |
AB = DE |
D. |
BC = EF |
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Hint |
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5. |
Name the remote interior angles of  |
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A. |
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B. |
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C. |
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D. |
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6. |
Which postulate or theorem shows that  |
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A. |
ASA Postulate |
B. |
SAS Postulate |
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C. |
SSS Postulate |
D. |
AAS Theorem |
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Hint |
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7. |
In parallelogram ABCD, AB is parallel to_______. |
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A. |
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B. |
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C. |
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D. |
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8. |
If ABCD is a rhombus and  find  |
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A. |
76 |
B. |
142 |
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C. |
38 |
D. |
104 |
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Hint |
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9. |
The bases of a trapezoid have measures of 16 and 8. Find the measure of the median. |
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A. |
12 |
B. |
24 |
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C. |
8 |
D. |
128 |
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Hint |
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10. |
The measures of a pair of base angles of an isosceles trapezoid are
7x - 12 and 5x + 6. Find the value of x. |
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A. |
3 |
B. |
6 |
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C. |
12 |
D. |
9 |
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Hint |
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11. |
The sides of ABCD are proportional to the corresponding sides of EFGH. If AD = 5, DC = 6, and EH = 6, then HG =_________. |
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A. |
5.8 |
B. |
5 |
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C. |
6 |
D. |
7.2 |
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Hint |
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12. |
Which set of numbers is a Pythagorean triple? |
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A. |
8, 10, 12 |
B. |
9, 40, 41 |
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C. |
10, 15, 18 |
D. |
10, 20, 30 |
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Hint |
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13. |
The angle of depression from the top of one building to the top of a neighboring building is 12°. If the buildings are 50 feet apart, what is the difference between the heights of the buildings? Round your answer to the nearest tenth of a foot. |
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A. |
235.2 ft |
B. |
48.9 ft |
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C. |
10.4 ft |
D. |
10.6 ft |
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Hint |
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14. |
Theo is reorganizing his room. What unit of length should he use to measure the furniture in his room? |
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A. |
meter |
B. |
millimeter |
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C. |
kilometer |
D. |
centimeter |
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Hint |
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15. |
Which of the following statements is true? |
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A. |
 intersects plane M in two points. |
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B. |
intersects plane M at point C. |
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C. |
The intersection of and plane M is  . |
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D. |
intersects plane M at point B. |
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Hint |
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16. |
If  bisects  which angle is congruent to |
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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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17. |
If two angles of an isosceles triangle are each twice the measure of the other angle, what is the measure of this other angle? |
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A. |
64° |
B. |
36° |
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C. |
72° |
D. |
18° |
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Hint |
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18. |
In  STU, m S = 9x - 15, mT = 5x + 3, and mU = 2x + 15. Which inequality shows the relationship between the lengths of the sides of the triangle? |
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A. |
TU > ST >SU |
B. |
TS > SU > TU |
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C. |
TU > SU > ST |
D. |
TS > TU > SU |
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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. |
20.1 feet |
B. |
12.7 feet |
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C. |
22.5 feet |
D. |
17 feet |
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Hint |
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20. |
Find the coordinates of B for the equilateral triangle. |
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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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