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1. |
Which figure shows points D(-1, -1), E(3, 4), F(-4, 2), and G(0, 2) on a coordinate plane with lines EF and DG intersecting at H and a point C that is coplanar with D, E, F, G, and H, but is not contained in either line? |
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A. |
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B. |
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C. |
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D. |
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2. |
Find the coordinate of the midpoint of . |
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A. |
-0.5 |
B. |
-1.5 |
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C. |
0.5 |
D. |
1.5 |
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3. |
Find the coordinates of K, the midpoint of , if the endpoints of are M(-4,6) and N (2,5). |
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A. |
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B. |
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C. |
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D. |
(-2, 6) |
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4. |
Name a point on the exterior of  |
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A. |
point G |
B. |
point E |
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C. |
point C |
D. |
point D |
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5. |
If and is a right angle, what is the measure of  |
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A. |
125 |
B. |
135 |
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C. |
145 |
D. |
130 |
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6. |
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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7. |
Which segment is perpendicular 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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8. |
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. |
detachment reasoning |
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C. |
inductive reasoning |
D. |
deductive reasoning |
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Hint |
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9. |
For the proof shown, provide statement 5. |
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A. |
BC = EF |
B. |
AC = DF |
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C. |
AB = DE |
D. |
AB = EF |
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10. |
Which of the following statements is true? |
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A. |
The intersection of and plane M is . |
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B. |
intersects plane M at point B. |
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C. |
intersects plane M in two points. |
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D. |
intersects plane M at point C. |
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11. |
Find the coordinate of the midpoint of  |
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A. |
8 |
B. |
1 |
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C. |
-1 |
D. |
4 |
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12. |
If m DGE = 52 and FGE is a right angle, what is the measure of DGF? |
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A. |
38 |
B. |
71 |
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C. |
45 |
D. |
142 |
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13. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment? |
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A. |
1 and 2 are congruent. |
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B. |
1 and 2 both have a measure of 45. |
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C. |
1 and 2 are not congruent. |
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D. |
Both 1 and 2 are obtuse. |
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14. |
For the proof shown, provide the reason for part b. |
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A. |
Definition of congruent segments |
B. |
Definition of Addition |
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C. |
Symmetric Property (=) |
D. |
Definition of a line |
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15. |
What is the perimeter of square ABCD? |
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A. |
in. |
B. |
in. |
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C. |
3 in. |
D. |
in. |
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16. |
Find the perimeter of with vertices D(2, -2), E(-5, 1), and F(0, 6). |
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A. |
14.2 units |
B. |
57.4 units |
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C. |
23.0 units |
D. |
11.5 units |
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17. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
conjunction |
B. |
negation |
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C. |
truth value |
D. |
disjunction |
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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 both Spanish and French? |
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A. |
15 |
B. |
1 |
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C. |
55 |
D. |
40 |
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19. |
If and lie in plane P. Which of the following postulates can be used to show that lies in plane P? |
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A. |
If two planes intersect, then their intersection is a line. |
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B. |
A plane contains at least three points not on the same line. |
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C. |
If two points lie in a plane, then the entire line containing those points lies in that plane. |
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D. |
Through any two points, there is exactly one line. |
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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. |
Whole Segment Postulate |
B. |
Ruler Postulate |
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C. |
Addition Property of Congruence |
D. |
Segment Addition Postulate |
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Hint |
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