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1. |
Which of the following statements is not true? |
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A. |
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B. |
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C. |
X contains M and k. |
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D. |
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2. |
Which segment has a measure of 7? |
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A. |
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B. |
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C. |
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D. |
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3. |
Find the coordinate of the midpoint of . |
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A. |
0.5 |
B. |
-0.5 |
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C. |
-1.5 |
D. |
1.5 |
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4. |
If R is the midpoint of , SR=3x+8,and RT =5x-6, find the measure of . |
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A. |
29 |
B. |
13 |
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C. |
14 |
D. |
32 |
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5. |
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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6. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
deductive reasoning |
B. |
a conjecture |
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C. |
inductive reasoning |
D. |
guessing |
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7. |
Daniel wants to send Jasmine flowers for her birthday. At the flower store, he can choose between roses, irises, or carnations. The salesperson tells Daniel that 50% of the customers buy roses, 30% buy carnations, and 20% buy irises. Which of the following is a valid conjecture? |
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A. |
Daniel will buy Jasmine irises. |
B. |
Jasmine will be excited to receive flowers for her birthday. |
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C. |
The salesperson likes carnations. |
D. |
More customers buy roses than carnations. |
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8. |
In the figure, points A and B are on circle C and  Write the contra positive of the true conditional.
Conditional 1: If then is a right isosceles triangle. Conditional 2: If then divides the circle into two equal halves. |
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A. |
If then does not divide the circle into two equal halves. |
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B. |
If does not divide the circle into two equal halves, then  |
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C. |
If is a right isosceles triangle, then  |
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D. |
If is not a right isosceles triangle, then  |
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9. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
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A. |
reasonable doubt |
B. |
deductive reasoning |
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C. |
detachment reasoning |
D. |
inductive reasoning |
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10. |
''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. |
The sum of 8 and 24 must be even. |
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B. |
If the numbers 8 and 24 are even, then their sum is 32. |
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C. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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D. |
The sum of 8 and 24 must be odd. |
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Hint |
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11. |
Name the property of equality that justifies the following statement. If CD = MN and CD = RS, then MN = RS. |
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A. |
Symmetric Property (=) |
B. |
Reflexive Property (=) |
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C. |
Substitution Property (=) |
D. |
Distributive Property (=) |
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12. |
For the proof shown, provide statement 2. |
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A. |
AC = DF, BC = EF |
B. |
AB = BC, DE = EF |
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C. |
AC = DE, AB = DF |
D. |
AB = DE |
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13. |
All right angles are ____________. |
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A. |
transitive |
B. |
congruent |
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C. |
180° |
D. |
complementary |
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14. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
theorem |
B. |
possibility |
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C. |
counterexample |
D. |
guess |
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15. |
If 1 and 2 form a linear pair and m 1 = 2x + 16 and m 2 = 50x + 60, find m 2. |
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A. |
160 |
B. |
20 |
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C. |
80 |
D. |
180 |
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16. |
Find the precision for a measurement of 24 meters. |
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A. |
0.5 m |
B. |
1 m |
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C. |
5 m |
D. |
10 m |
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17. |
Find AC. |
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A. |
4.9 cm |
B. |
3.5 cm |
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C. |
1.5 cm |
D. |
5.0 cm |
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Hint |
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18. |
Find the perimeter of with vertices D(2, -2), E(-5, 1), and F(0, 6). |
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A. |
23.0 units |
B. |
11.5 units |
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C. |
14.2 units |
D. |
57.4 units |
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Hint |
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19. |
Write a truth table for p q. |
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A. |
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B. |
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C. |
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D. |
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20. |
A _________ is a statement that describes a fundamental relationship between the basic terms of geometry and is accepted as true. |
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A. |
definition |
B. |
proof |
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C. |
theorem |
D. |
postulate |
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