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1. |
Name three points that are collinear. |
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A. |
A, C, D |
B. |
C, D, F |
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C. |
A, B, D |
D. |
A, D, F |
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Hint |
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2. |
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. |
theorem |
B. |
proof |
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C. |
postulate |
D. |
definition |
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Hint |
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3. |
Name a point on the exterior of  |
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A. |
point D |
B. |
point E |
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C. |
point G |
D. |
point C |
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Hint |
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4. |
Determine the slope of any line perpendicular to . |
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A. |
 |
B. |
-3 |
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C. |
3 |
D. |
 |
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Hint |
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5. |
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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6. |
The polygon shown is_______. |
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A. |
regular |
B. |
a hexagon |
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C. |
a quadrilateral |
D. |
concave |
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Hint |
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7. |
Find ST if S is between R and T, SR = 2x + 7, ST = x - 6, and RT = 100 |
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A. |
99 |
B. |
33 |
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C. |
74 |
D. |
27 |
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Hint |
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8. |
Find the coordinates of R, the midpoint of , if the endpoints of are Q(3, -5) and S(-3, 6). |
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A. |
 |
B. |
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C. |
(6,1) |
D. |
 |
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Hint |
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9. |
What three things are accepted as true without verification or proof? |
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A. |
theorems, postulates, and undefined terms |
B. |
definitions, theorems, and postulates |
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C. |
conclusions, hypotheses, and postulates |
D. |
definitions, postulates, and undefined terms. |
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Hint |
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10. |
Which of the following best describes AGF? |
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A. |
right |
B. |
obtuse |
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C. |
straight |
D. |
acute |
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Hint |
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11. |
The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle. |
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A. |
50 |
B. |
60 |
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C. |
40 |
D. |
130 |
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Hint |
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12. |
What is a valid conclusion to the following hypothesis? If there are two points... |
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A. |
There are an infinite number of lines containing both points. |
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B. |
There are no lines containing both points. |
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C. |
There is one line containing both points. |
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D. |
There are two lines containing both points. |
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Hint |
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13. |
Which law is similar to the Transitive Property? |
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A. |
Law of Detachment |
B. |
Law of Deductive Reasoning |
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C. |
Law of Conditional |
D. |
Law of Syllogism |
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Hint |
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14. |
For the proof shown, provide statement 3. |
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A. |
CD = EF |
B. |
AB = EF |
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C. |
AB = BA |
D. |
AB = CD |
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Hint |
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15. |
If line m and n are parallel and l is perpendicular to m, then ______. |
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A. |
l and n are skew lines. |
B. |
l is parallel to n. |
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C. |
m is parallel to n. |
D. |
l is perpendicular to n. |
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Hint |
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16. |
What is the precision of a measurement of feet? |
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A. |
ft |
B. |
1 ft |
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C. |
1 in. |
D. |
ft |
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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. |
40 |
B. |
15 |
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C. |
1 |
D. |
55 |
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Hint |
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18. |
Which statement is the inverse of the statement angles with the same measure are congruent? |
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A. |
If two angles do not have the same measure, then they are not congruent. |
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B. |
If two angles are not congruent, then they do not have the same measure. |
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C. |
If two angles are congruent, then they have the same measure. |
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D. |
If two angles have the same measure, then they are congruent. |
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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. |
If two planes intersect, then their intersection is a line. |
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B. |
If two lines intersect, then their intersection is exactly one point. |
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C. |
Through any two points, there is exactly one line. |
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D. |
Through any three points not on the same line, there is exactly one plane. |
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Hint |
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20. |
Which postulate states that if B is between A and C, then AB + BC = AC? |
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A. |
Ruler Postulate |
B. |
Segment Addition Postulate |
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C. |
Whole Segment Postulate |
D. |
Addition Property of Congruence |
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Hint |
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