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1. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
If the numbers 8 and 24 are even, then their sum is 32. |
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B. |
The sum of 8 and 24 must be odd. |
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C. |
The sum of 8 and 24 must be even. |
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D. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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Hint |
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2. |
Find the value of x so the line that passes through (x, 5) and (12, 2) is perpendicular to the line that passes through (0, 1) and (2, 7). |
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A. |
-3 |
B. |
4 |
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C. |
5 |
D. |
3 |
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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. |
 |
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C. |
2 |
D. |
 |
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Hint |
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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. |
9 |
B. |
4 |
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C. |
15 |
D. |
21 |
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Hint |
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5. |
In  is 10 more than 3 times a number,
 is 8 less than 5 times the same number. Find  |
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A. |
106 |
B. |
116 |
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C. |
37 |
D. |
48 |
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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. |
parallel |
B. |
integral |
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C. |
perpendicular |
D. |
consecutive |
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Hint |
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7. |
Which inequality describes the range of possible values for x? |
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A. |
x < 14 |
B. |
x < 4 and x > 14 |
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C. |
-6 < x < 14 |
D. |
4 < x < 14 |
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Hint |
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8. |
Find IJ. |
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A. |
10.5 |
B. |
10 |
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C. |
13 |
D. |
17 |
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Hint |
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9. |
In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part. |
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A. |
converse, inverse |
B. |
inverse, negation |
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C. |
hypothesis, converse |
D. |
converse, negation |
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Hint |
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10. |
Name the property that justifies the statement. ''If 2x = 12, then x = 6''. |
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A. |
Transitive Property (=) |
B. |
Symmetric Property |
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C. |
Multiplication Property (=) |
D. |
Division Property (=) |
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Hint |
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11. |
Find the value of x so the line that passes through (x, 6) and (10,-3) is parallel to the line that passes through (7, 2) and (6, 11) |
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A. |
-9 |
B. |
9 |
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C. |
1 |
D. |
-71 |
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Hint |
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12. |
How many other triangles in the figure appear to be congruent to  ABC? |
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 |
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A. |
8 |
B. |
7 |
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C. |
3 |
D. |
4 |
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Hint |
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13. |
In isosceles PQR with base  , PQ = 2x + 3, and PR = 9x - 11. What is the value of x? |
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A. |
7 |
B. |
-7 |
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C. |
 |
D. |
2 |
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Hint |
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14. |
In the triangle shown, which angle has the greatest measure? |
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A. |
 A |
B. |
C |
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C. |
B |
D. |
none of them; they all have an equal angle measure |
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Hint |
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15. |
DEF  GHI. Find the value of x. |
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A. |
5.25 |
B. |
1.75 |
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C. |
21 |
D. |
10.5 |
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Hint |
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16. |
Graph the line that is perpendicular to the graph of the equation  that passes through the point (5,0). |
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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. |
Write the equation of the line perpendicular to  that passes through the point (3,-13) |
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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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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 Spanish or French? |
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A. |
56 |
B. |
63 |
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C. |
25 |
D. |
55 |
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Hint |
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19. |
The __________ is the point of concurrency of the angle bisectors of a triangle. |
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A. |
orthocenter |
B. |
centroid |
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C. |
circumcenter |
D. |
incenter |
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Hint |
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20. |
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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