| |
| |
1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
| |
|
A. |
deductive reasoning |
B. |
a conjecture |
| |
|
C. |
guessing |
D. |
inductive reasoning |
| |
|
Hint |
|
| |
2. |
If-then statements are also called ______________. |
| |
|
A. |
hypotheses |
B. |
conclusions |
| |
|
C. |
conditionals |
D. |
reasons |
| |
|
Hint |
|
| |
3. |
Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz. |
| |
|
A. |
Ralph may do his math homework. |
| |
|
B. |
He will get a good grade on the quiz. |
| |
|
C. |
Ralph does his math homework. |
| |
|
D. |
He will not get a good grade on the quiz. |
| |
|
Hint |
|
| |
4. |
Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle. |
| |
|
A. |
If three points do not form a triangle, then they are not noncollinear. |
| |
|
B. |
If three points are not noncollinear, then they do not form a triangle. |
| |
|
C. |
If three points form a triangle, then they are noncollinear. |
| |
|
D. |
If three points do not form a triangle, then they are noncollinear. |
| |
|
Hint |
|
| |
5. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
| |
|
A. |
detachment reasoning |
B. |
inductive reasoning |
| |
|
C. |
deductive reasoning |
D. |
reasonable doubt |
| |
|
Hint |
|
| |
6. |
What is a valid conclusion to the following hypothesis?
If there are two points... |
| |
|
A. |
There is one line containing both points. |
| |
|
B. |
There are an infinite number of lines containing both points. |
| |
|
C. |
There are no lines containing both points. |
| |
|
D. |
There are two lines containing both points. |
| |
|
Hint |
|
| |
7. |
Which statement is not true in the picture? |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
If  then  |
| |
|
C. |
If  and  are complementary and and  are complementary, then |
| |
|
D. |
 |
| |
|
Hint |
|
| |
8. |
In the picture, and are vertical. If  then what is  |
| |
|
 |
| |
|
A. |
162 |
B. |
90 |
| |
|
C. |
28 |
D. |
81 |
| |
|
Hint |
|
| |
9. |
Which set notation means that 4 is an element of {3,4,5,6}? |
| |
|
A. |
4 {3,4,5,6} |
B. |
4 {3,4,5,6} |
| |
|
C. |
4 {3,4,5,6} |
D. |
4 {3,4,5,6} |
| |
|
Hint |
|
| |
10. |
If A={5,6,7,8} and B ={8,9}, what set notation means that 7 belongs to set A but not set B? |
| |
|
A. |
7 A, 7 B |
B. |
7 A, 7B |
| |
|
C. |
7 = A, 7B |
D. |
7A, 7 B |
| |
|
Hint |
|
| |
11. |
If A= {0,1,2,3,4}, B={2,4,6,8} and C= {-3, -2, -1, 0}, find  |
| |
|
A. |
{-3, -2, -1, 0, 2, 4, 6, 8} |
B. |
{-3, -2, -1, 0 ,1, 2, 3, 4} |
| |
|
C. |
|
D. |
{0} |
| |
|
Hint |
|
| |
12. |
If and  Which shows  |
| |
|
A. |
|
B. |
{-2, -1, 0, 1, 3, 5} |
| |
|
C. |
{1,3} |
D. |
{-2, -1, 0, 1, 3} |
| |
|
Hint |
|
| |
13. |
What is the contrapositive of the conditional If two angles are vertical angles then they have equal measures? |
| |
|
A. |
If two angles are vertical angles then they do not have equal measures. |
| |
|
B. |
If two angles do not have equal measures then they are not vertical angles. |
| |
|
C. |
If two angles have equal measure then they are vertical angles. |
| |
|
D. |
If two angles are not vertical angles then they do not have equal measures. |
| |
|
Hint |
|
| |
14. |
Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If two angles are vertical angles then they are congruent. |
| |
|
A. |
The angles are vertical angles; valid |
B. |
The angles are not vertical angles; valid |
| |
|
C. |
The angles are not vertical angles; invalid |
D. |
The angles are vertical angles; invalid |
| |
|
Hint |
|
|
|