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1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
deductive reasoning |
B. |
inductive reasoning |
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C. |
a conjecture |
D. |
guessing |
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Hint |
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2. |
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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3. |
A ______________ is a diagram that can be used to illustrate a conditional. |
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A. |
Venn diagram |
B. |
flow chart |
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C. |
bar graph |
D. |
tree diagram |
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Hint |
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4. |
Which statement shows the Transitive Property of Equality? |
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A. |
If AB = CD, then CD = AB. |
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B. |
If AB = CD and AB =EF, then  |
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C. |
If AB + BC = DE + BC, then AB = DE. |
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D. |
If  and 
then  |
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Hint |
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5. |
Justify step 2 in solving  |
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A. |
Subtraction Property (=) |
B. |
Distributive Property (=) |
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C. |
Multiplication Property (=) |
D. |
Division Property (=) |
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Hint |
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6. |
For the proof shown, provide the reason for part c. |
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A. |
Division Property of Equality |
B. |
Multiplication Property of Equality |
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C. |
Subtraction Property of Equality |
D. |
Addition Property of Equality |
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Hint |
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7. |
If  and  form a linear pair and  find  |
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A. |
96 |
B. |
76 |
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C. |
86 |
D. |
106 |
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Hint |
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8. |
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. |
converse, inverse |
B. |
converse, negation |
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C. |
inverse, negation |
D. |
hypothesis, converse |
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Hint |
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9. |
What is a valid conclusion to the following hypothesis?
If there are two points... |
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A. |
There are no lines containing both points. |
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B. |
There are an infinite number of lines containing both points. |
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C. |
There are two lines containing both points. |
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D. |
There is one line containing both points. |
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Hint |
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10. |
Which statement follows from (1) and (2) by the Law of Syllogism? (1) If two angles form a linear pair, then they are supplementary. (2) If two angles are supplementary, then the sum of their measures is 180. |
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A. |
A linear pair is formed by supplementary angles. |
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B. |
The measures of supplementary angles add up to 180. |
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C. |
Supplementary angles form a linear pair. |
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D. |
The sum of the measures of the angles in a linear pair is 180. |
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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. |
WXYZ has four right angles. |
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B. |
If WXYZ is not a square, then it has four right angles. |
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C. |
If WXYZ has four right angles, then it is a square. |
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D. |
If WXYZ is not a square, then it does not have four right angles. |
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Hint |
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12. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, symmetric, and transitive |
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B. |
addition, subtraction, and multiplication |
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C. |
reflexive, multiplication, and division |
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D. |
reflexive, symmetric, and substitution |
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Hint |
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13. |
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. |
180 |
D. |
160 |
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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 neither Spanish nor French? |
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A. |
25 |
B. |
1 |
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C. |
7 |
D. |
14 |
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Hint |
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15. |
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. |
Through any two points, there is exactly one line. |
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C. |
Points that lie of the same plane are said to be coplanar. |
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D. |
A plane contains at least three points not on the same line. |
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16. |
A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began? |
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A. |
42 |
B. |
21 |
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C. |
15 |
D. |
7 |
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Hint |
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