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1. |
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. |
A country music station bought out her favorite music station over the weekend. |
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B. |
Someone used her car during the weekend and changed the station. |
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C. |
All statements are valid conjectures. |
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D. |
Her favorite station has changed their morning program to include country music. |
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Hint |
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2. |
If-then statements are also called ______________. |
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A. |
conclusions |
B. |
conditionals |
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C. |
hypotheses |
D. |
reasons |
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Hint |
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3. |
Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.'' |
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A. |
If Deanna does not eat the last cookie, then Leon will not buy more. |
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B. |
If Deanna eats the last cookie, then Leon will not buy more. |
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C. |
If Deanna does not eat the last cookie, then Leon will buy more. |
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D. |
If Leon does not buy more, then Deanna did not eat the last cookie. |
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Hint |
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4. |
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. |
inductive reasoning |
B. |
detachment reasoning |
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C. |
deductive reasoning |
D. |
reasonable doubt |
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Hint |
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5. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
An object is a rhombus. |
B. |
If an object is a square, then it is an equilateral. |
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C. |
An object is a square. |
D. |
If an object is an equilateral, then it is a square. |
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Hint |
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6. |
Which statement shows the Transitive Property of Equality? |
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A. |
If AB + BC = DE + BC, then AB = DE. |
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B. |
If AB = CD and AB =EF, then  |
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C. |
If AB = CD, then CD = AB. |
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D. |
If  and 
then  |
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Hint |
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7. |
Complete the proof. |
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A. |
Angle Addition Property |
B. |
Transitive Property |
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C. |
Addition Property (=) |
D. |
Substitution Property (=) |
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Hint |
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8. |
If  and  are vertical angles and  and  find  |
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A. |
23 |
B. |
72 |
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C. |
43 |
D. |
68 |
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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. |
definitions, theorems, and postulates |
B. |
theorems, postulates, and undefined terms |
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C. |
definitions, postulates, and undefined terms. |
D. |
conclusions, hypotheses, and postulates |
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Hint |
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10. |
Make a conjecture based on the following information.  M is obtuse. |
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A. |
mM is not 180 |
B. |
M is straight |
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C. |
mM = 30 |
D. |
M is acute |
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Hint |
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11. |
For the proof shown, provide statement 3. |
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A. |
AB = CD |
B. |
CD = EF |
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C. |
AB = BA |
D. |
AB = EF |
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Hint |
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12. |
If 1 and 2 form a linear pair and m1 = 2x + 16 and
m2 = 50x + 60, find m2. |
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A. |
80 |
B. |
20 |
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C. |
160 |
D. |
180 |
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Hint |
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13. |
A __________ is a compound statement formed by joining two or more statements with the word and. |
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A. |
negation |
B. |
conjunction |
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C. |
truth value |
D. |
disjunction |
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Hint |
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14. |
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 Spanish or French? |
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A. |
56 |
B. |
25 |
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C. |
55 |
D. |
63 |
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Hint |
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15. |
Determine the number of line segments that can be drawn connecting pairs of points shown. |
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A. |
8 |
B. |
10 |
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C. |
6 |
D. |
4 |
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Hint |
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16. |
The statement if    , then demonstrates which property of congruence? |
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A. |
Reflexive Property |
B. |
Identity Property |
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C. |
Symmetric Property |
D. |
Transitive Property |
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Hint |
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