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1. |
Name a point on the exterior of  |
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A. |
point G |
B. |
point C |
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C. |
point E |
D. |
point D |
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Hint |
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2. |
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. |
Develop a system of inductive reasoning. |
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D. |
List the given information. |
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3. |
Find the distance from G(-3, -1) to the line whose equation is y = 4. |
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A. |
4 |
B. |
5 |
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C. |
3 |
D. |
2 |
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4. |
Which figure shows with m M = 90; m P > m N, and MP < MN? |
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A. |
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B. |
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C. |
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D. |
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5. |
Name the remote interior angles of  |
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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. |
Which pair of triangles is congruent by the ASA Postulate? |
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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. |
In the figure, intersects at H. Which additional fact is needed to prove by ASA? |
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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. |
In which figure is a median and an angle bisector of and is an altitude? |
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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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9. |
Order the steps for writing an indirect proof. |
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A. |
2, 3, 1 |
B. |
3, 2, 1 |
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C. |
1, 2, 3 |
D. |
2, 1, 3 |
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Hint |
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10. |
Which assumption would you make to start an indirect proof of the statement Bob took the dog for a walk |
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A. |
Bob does not have to take the dog for a walk. |
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B. |
Bob did not take the dog for a walk. |
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C. |
Bob will take the dog for a walk. |
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D. |
Bob may take the dog for a walk. |
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Hint |
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11. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
If WXYZ has four right angles, then it is a square. |
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B. |
If WXYZ is not a square, then it has four right angles. |
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C. |
WXYZ has four right angles. |
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D. |
If WXYZ is not a square, then it does not have four right angles. |
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12. |
Which statement explains why  |
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A. |
If the sum of the measures of two angles is 180, then they are supplementary. |
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B. |
All right angles are congruent. |
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C. |
If two angles form a linear pair, then they are supplementary. |
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D. |
Angles supplementary to the same angle are congruent. |
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Hint |
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13. |
If two lines are cut by a transversal and ______ angles are congruent, then the lines are parallel. |
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A. |
corresponding |
B. |
adjacent |
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C. |
consecutive interior |
D. |
vertical |
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Hint |
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14. |
Find the distance from R(6, -4) to the line with the equation y = 12. |
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A. |
-16 |
B. |
8 |
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C. |
16 |
D. |
6 |
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15. |
Which postulate or theorem can be used to prove that the two triangles shown are congruent? |
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A. |
SSS Postulate |
B. |
SAS Postulate |
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C. |
ASA Postulate |
D. |
AAS Theorem |
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Hint |
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16. |
In isosceles PQR with base , PQ = 2x + 3, and PR = 9x - 11. What is the value of x? |
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A. |
2 |
B. |
-7 |
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C. |
7 |
D. |
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Hint |
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17. |
The segment that has one endpoint at one of the vertices of a triangle and its other endpoint on a line containing the opposite side of the triangle, and is perpendicular to the opposite side of the triangle, is called the __________. |
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A. |
median |
B. |
angle bisector |
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C. |
altitude |
D. |
perpendicular bisector |
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18. |
PQR has vertices P(-4, 6), Q(4, 5), R(-2, -3). Which angle has the smallest measure? |
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A. |
P |
B. |
There is not enough information to answer this question. |
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C. |
R |
D. |
Q |
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Hint |
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19. |
In STU, m S = 9x - 15, m T = 5x + 3, and m U = 2x + 15. Which inequality shows the relationship between the lengths of the sides of the triangle? |
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A. |
TU > SU > ST |
B. |
TU > ST >SU |
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C. |
TS > SU > TU |
D. |
TS > TU > SU |
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Hint |
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20. |
If and form a linear pair and m = 72, find m . |
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A. |
18 |
B. |
72 |
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C. |
108 |
D. |
144 |
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Hint |
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