| |
| |
1. |
''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. |
| |
|
A. |
If the numbers 8 and 24 are odd, then their sum is 32. |
| |
|
B. |
The sum of 8 and 24 must be even. |
| |
|
C. |
If the numbers 8 and 24 are even, then their sum is 32. |
| |
|
D. |
The sum of 8 and 24 must be odd. |
| |
|
Hint |
|
| |
2. |
Find the number of different segments formed by 8 collinear points. |
| |
|
A. |
28 |
B. |
27 |
| |
|
C. |
36 |
D. |
21 |
| |
|
Hint |
|
| |
3. |
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. |
| |
|
A. |
The measures of supplementary angles add up to 180. |
| |
|
B. |
The sum of the measures of the angles in a linear pair is 180. |
| |
|
C. |
A linear pair is formed by supplementary angles. |
| |
|
D. |
Supplementary angles form a linear pair. |
| |
|
Hint |
|
| |
4. |
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. |
| |
|
A. |
WXYZ has four right angles. |
| |
|
B. |
If WXYZ is not a square, then it has four right angles. |
| |
|
C. |
If WXYZ is not a square, then it does not have four right angles. |
| |
|
D. |
If WXYZ has four right angles, then it is a square. |
| |
|
Hint |
|
| |
5. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
| |
|
A. |
When you triple a number, the result must be an even number. |
| |
|
B. |
The result of doubling 234 is an odd number. |
| |
|
C. |
The result of doubling 317 is an even number. |
| |
|
D. |
If you double an odd number, the result is another odd number. |
| |
|
Hint |
|
|
|