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1. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
postulate |
B. |
theorem |
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C. |
proof |
D. |
definition |
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Hint |
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2. |
In the figure, bisects at V. Find the measure of if VZ=4a+3 and VW=15-2a. |
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A. |
28 |
B. |
24 |
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C. |
12 |
D. |
22 |
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Hint |
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3. |
If bisects which angle is congruent to  |
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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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4. |
Which angle forms a linear pair with  |
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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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5. |
Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.'' |
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A. |
If Leon does not buy more, then Deanna did not eat the last cookie. |
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B. |
If Deanna does not eat the last cookie, then Leon will buy more. |
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C. |
If Deanna does not eat the last cookie, then Leon will not buy more. |
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D. |
If Deanna eats the last cookie, then Leon will not buy more. |
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Hint |
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6. |
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 Deductive Reasoning |
B. |
Law of Syllogism |
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C. |
Law of Detachment |
D. |
Law of Conditional |
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Hint |
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7. |
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. |
inductive reasoning |
B. |
reasonable doubt |
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C. |
deductive reasoning |
D. |
detachment reasoning |
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Hint |
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8. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
State the theorem to be proved. |
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B. |
If possible, draw a diagram to illustrate the given information. |
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C. |
List the given information. |
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D. |
Develop a system of inductive reasoning. |
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Hint |
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9. |
For the proof shown, provide the reason for part c. |
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A. |
Division Property of Equality |
B. |
Subtraction Property of Equality |
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C. |
Multiplication Property of Equality |
D. |
Addition Property of Equality |
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Hint |
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10. |
If    , and what is the measure of  |
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A. |
108 |
B. |
76 |
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C. |
72 |
D. |
180 |
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Hint |
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11. |
The Parallel Postulate states, ''If there is a line and a point not on the line, then there exists _______________ line through the point that is parallel to the given line.'' |
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A. |
infinitely many |
B. |
more than one |
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C. |
no |
D. |
exactly one |
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Hint |
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12. |
Find XY on the number line shown. |
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A. |
-7 |
B. |
4 |
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C. |
0 |
D. |
7 |
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Hint |
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13. |
If bisects which angle is congruent to |
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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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14. |
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. |
hypothesis, converse |
B. |
converse, negation |
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C. |
converse, inverse |
D. |
inverse, negation |
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Hint |
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15. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, symmetric, and substitution |
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B. |
reflexive, multiplication, and division |
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C. |
addition, subtraction, and multiplication |
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D. |
reflexive, symmetric, and transitive |
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Hint |
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16. |
Two angles are congruent if they are ______. |
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A. |
a linear pair |
B. |
supplementary |
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C. |
vertical |
D. |
adjacent |
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Hint |
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17. |
Determine the slope of the line parallel to the line shown. |
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A. |
-1 |
B. |
1 |
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C. |
0 |
D. |
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Hint |
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18. |
If 3 4, which lines must be parallel? |
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A. |
d and e |
B. |
a and d |
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C. |
a and c |
D. |
a and b |
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Hint |
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19. |
The distance from a line to a point not on the line is the length of the segment _____ to the line from the point. |
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A. |
perpendicular |
B. |
drawn |
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C. |
parallel |
D. |
between |
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Hint |
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20. |
The distance between two parallel lines is the distance between one of the lines and _____ . |
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A. |
any point on the other line |
B. |
the other line |
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C. |
any point farther than the other line |
D. |
any point not on the line |
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Hint |
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