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1. |
Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true? |
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A. |
Law of Syllogism |
B. |
Law of Detachment |
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C. |
Law of Conditional |
D. |
Law of Deductive Reasoning |
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2. |
Which statement shows the Transitive Property of Equality? |
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A. |
If AB + BC = DE + BC, then AB = DE. |
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B. |
If and then  |
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C. |
If AB = CD, then CD = AB. |
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D. |
If AB = CD and AB =EF, then  |
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3. |
Which segment represents the distance from N 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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4. |
Triangle KMS is equilateral. Find KM if KM = x + 6, KS = 2x – 3, and MS = 4x – 21. |
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A. |
15 |
B. |
21 |
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C. |
9 |
D. |
4 |
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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. |
by the _______________. |
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A. |
SSS Postulate |
B. |
ASA Postulate |
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C. |
SSA Postulate |
D. |
SAS Postulate |
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Hint |
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7. |
Order the steps for writing an indirect proof. |
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A. |
2, 3, 1 |
B. |
3, 2, 1 |
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C. |
2, 1, 3 |
D. |
1, 2, 3 |
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Hint |
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8. |
If , which relationship is true? |
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A. |
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B. |
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C. |
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D. |
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9. |
How many planes appear on the figure shown? |
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A. |
8 |
B. |
7 |
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C. |
5 |
D. |
6 |
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Hint |
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10. |
Find m MOP if m MON = 4x + 9 and m MOP = 3x - 3. |
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A. |
12 |
B. |
33 |
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C. |
57 |
D. |
45 |
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Hint |
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11. |
For the proof shown, provide statement 3. |
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A. |
AB = BA |
B. |
CD = EF |
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C. |
AB = CD |
D. |
AB = EF |
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Hint |
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12. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, symmetric, and transitive |
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B. |
addition, subtraction, and multiplication |
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C. |
reflexive, multiplication, and division |
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D. |
reflexive, symmetric, and substitution |
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Hint |
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13. |
Which figure is an obtuse 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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14. |
If m A > m B > m C, what is a possible measure for ? |
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A. |
13 mm |
B. |
20 mm |
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C. |
10 mm |
D. |
32 mm |
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Hint |
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15. |
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall? |
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A. |
15 and 20 |
B. |
5 and 35 |
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C. |
10 and 25 |
D. |
10 and 35 |
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Hint |
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16. |
Ed has a piece of rope with exactly 10 knots tied to make 9 equal lengths as shown. Using the rope, he wants to use the entire rope to make a triangle so that each vertex of the triangle occurs at a knot. How many different triangles can Ed make? |
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A. |
2 |
B. |
5 |
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C. |
3 |
D. |
4 |
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Hint |
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17. |
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. |
1 |
B. |
55 |
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C. |
15 |
D. |
40 |
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Hint |
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18. |
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 neither Spanish nor French? |
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A. |
1 |
B. |
7 |
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C. |
14 |
D. |
25 |
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Hint |
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19. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
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A. |
Through any three points not on the same line, there is exactly one plane. |
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B. |
If two planes intersect, then their intersection is a line. |
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C. |
If two lines intersect, then their intersection is exactly one point. |
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D. |
Through any two points, there is exactly one line. |
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Hint |
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20. |
Find the coordinates of O. |
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A. |
(0, 3 a) |
B. |
(0, 3Ka) |
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C. |
(3a, 0) |
D. |
(a, 0) |
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Hint |
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