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1. |
Which segment has a measure of 7? |
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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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2. |
Name a point on the exterior of  |
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A. |
point E |
B. |
point D |
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C. |
point G |
D. |
point C |
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Hint |
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3. |
Find the measures of two supplementary angles, and  if  and  |
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A. |
39, 141 |
B. |
36, 144 |
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C. |
37, 143 |
D. |
38, 142 |
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Hint |
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4. |
Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music? |
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A. |
Someone used her car during the weekend and changed the station. |
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B. |
Her favorite station has changed their morning program to include country music. |
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C. |
A country music station bought out her favorite music station over the weekend. |
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D. |
All statements are valid conjectures. |
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Hint |
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5. |
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. |
deductive reasoning |
B. |
detachment reasoning |
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C. |
inductive reasoning |
D. |
reasonable doubt |
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Hint |
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6. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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B. |
The sum of 8 and 24 must be odd. |
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C. |
If the numbers 8 and 24 are even, then their sum is 32. |
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D. |
The sum of 8 and 24 must be even. |
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Hint |
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7. |
Which property of equality justifies the statement
if x – 2 = 9, then x = 11? |
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A. |
Transitive Property of Equality |
B. |
Addition Property of Equality |
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C. |
Symmetric Property of Equality |
D. |
Multiplication Property of Equality |
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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. |
If possible, draw a diagram to illustrate the given information. |
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B. |
State the theorem to be proved. |
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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 statement 2. |
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A. |
AB = BC, DE = EF |
B. |
AC = DE, AB = DF |
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C. |
AC = DF, BC = EF |
D. |
AB = DE |
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Hint |
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10. |
Find PQ for P(2, 7) and Q(-4, 2). Round to the nearest tenth. |
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A. |
-7.8 |
B. |
7.8 |
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C. |
5.4 |
D. |
6 |
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Hint |
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11. |
What three things are accepted as true without verification or proof? |
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A. |
definitions, postulates, and undefined terms. |
B. |
definitions, theorems, and postulates |
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C. |
theorems, postulates, and undefined terms |
D. |
conclusions, hypotheses, and postulates |
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Hint |
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12. |
Which of the following best describes AGF? |
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A. |
straight |
B. |
acute |
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C. |
obtuse |
D. |
right |
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Hint |
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13. |
What is a valid conclusion to the following hypothesis?
If there are two points... |
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A. |
There are two 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 an infinite number of lines containing both points. |
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Hint |
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14. |
The starting point of a proof is the _____ of the conditional and the end is the _____ of the conditional. |
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A. |
statement, reason |
B. |
conjecture, justification |
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C. |
hypothesis, conclusion |
D. |
conclusion, hypothesis |
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Hint |
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15. |
For the proof shown, provide the reason for part d. |
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A. |
Definition of a line |
B. |
Definition of Addition |
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C. |
Symmetric Property (=) |
D. |
Definition of congruent segments |
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Hint |
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16. |
Which statement explains why  |
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A. |
All right angles are congruent. |
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B. |
If two angles form a linear pair, then they are supplementary. |
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C. |
If the sum of the measures of two angles is 180, 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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17. |
If  and  then  is _____? |
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A. |
obtuse. |
B. |
acute. |
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C. |
right. |
D. |
straight. |
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Hint |
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18. |
Find the perimeter of  with vertices A(4, 6), B(4, -3), and C(-4, -3). |
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A. |
29 units |
B. |
11 units |
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C. |
12 units |
D. |
72 units |
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Hint |
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19. |
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. |
1 |
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C. |
15 |
D. |
55 |
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Hint |
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20. |
Which of the following statements is not a postulate? |
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A. |
If two lines intersect, then their intersection is exactly one point. |
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B. |
A plane contains at least three points not on the same line. |
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C. |
Points that lie of the same plane are said to be coplanar. |
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D. |
Through any two points, there is exactly one line. |
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Hint |
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