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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. |
Which statement shows the Transitive Property of Equality? |
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A. |
If AB = CD and AB =EF, then  |
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B. |
If and then  |
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C. |
If AB = CD, then CD = AB. |
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D. |
If AB + BC = DE + BC, then AB = DE. |
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Hint |
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3. |
Justify step 2 in solving  |
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A. |
Subtraction Property (=) |
B. |
Multiplication Property (=) |
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C. |
Distributive Property (=) |
D. |
Division Property (=) |
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Hint |
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4. |
For the proof shown, provide the reason for part f. |
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A. |
Symmetric Property of Equality |
B. |
Definition of a line |
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C. |
Definition of Addition |
D. |
Definition of congruent segments |
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Hint |
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5. |
Find the slope of the line. |
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A. |
 |
B. |
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C. |
0 |
D. |
4 |
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Hint |
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6. |
Find the value of x so that j || k. |
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A. |
12 |
B. |
23 |
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C. |
7 |
D. |
3 |
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Hint |
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7. |
If is parallel to , what is  |
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A. |
54 |
B. |
126 |
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C. |
71 |
D. |
109 |
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Hint |
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8. |
What is the value of n? |
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A. |
9 |
B. |
24 |
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C. |
26 |
D. |
14 |
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Hint |
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9. |
Which postulate can be used to prove the triangles congruent? |
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A. |
ASA Postulate |
B. |
SAS Postulate |
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C. |
not possible |
D. |
SSS Postulate |
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Hint |
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10. |
A _________ is a line or segment that passes through the midpoint of a side of a triangle and is perpendicular to that side. |
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A. |
median |
B. |
mode |
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C. |
angle bisector |
D. |
perpendicular bisector |
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Hint |
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11. |
Which of the following statements is true? |
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A. |
intersects plane M at point C. |
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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. |
The intersection of and plane M is . |
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Hint |
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12. |
What three things are accepted as true without verification or proof? |
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A. |
conclusions, hypotheses, and postulates |
B. |
theorems, postulates, and undefined terms |
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C. |
definitions, postulates, and undefined terms. |
D. |
definitions, theorems, and postulates |
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Hint |
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13. |
Find m MOP if m MON = 4x + 9 and m MOP = 3x - 3. |
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A. |
33 |
B. |
57 |
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C. |
12 |
D. |
45 |
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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. |
inverse, negation |
B. |
converse, inverse |
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C. |
converse, negation |
D. |
hypothesis, converse |
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Hint |
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15. |
Which law is similar to the Transitive Property? |
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A. |
Law of Syllogism |
B. |
Law of Conditional |
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C. |
Law of Deductive Reasoning |
D. |
Law of Detachment |
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Hint |
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16. |
''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 both have a measure of 45. |
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B. |
Both 1 and 2 are obtuse. |
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C. |
1 and 2 are not congruent. |
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D. |
1 and 2 are congruent. |
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Hint |
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17. |
CPR has vertices C(15, 1), P(9, 11), and R(2, 1). Determine the coordinates of point A on so that is a median of CPR. |
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A. |
(12, 6) |
B. |
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C. |
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D. |
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Hint |
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18. |
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. |
Through any two points, there is exactly one line. |
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C. |
If two lines intersect, then their intersection is exactly one point. |
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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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19. |
What is another name for an indirect proof? |
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A. |
proof by assumption |
B. |
default proof |
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C. |
proof by contradiction |
D. |
paragraph proof |
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Hint |
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20. |
Which assumption would you make to start an indirect proof of the following statement? The majority of students surveyed preferred chocolate ice cream to vanilla ice cream. |
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A. |
The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 25%. |
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B. |
The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 25%. |
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C. |
The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 50%. |
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D. |
The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 50%. |
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Hint |
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