| |
| |
1. |
Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true? |
| |
|
A. |
Law of Detachment |
B. |
Law of Syllogism |
| |
|
C. |
Law of Deductive Reasoning |
D. |
Law of Conditional |
| |
|
Hint |
|
| |
2. |
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. |
| |
|
A. |
If an object is a square, then it is an equilateral. |
B. |
If an object is an equilateral, then it is a square. |
| |
|
C. |
An object is a square. |
D. |
An object is a rhombus. |
| |
|
Hint |
|
| |
3. |
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 has four right angles, then it is a square. |
| |
|
C. |
If WXYZ is not a square, then it has four right angles. |
| |
|
D. |
If WXYZ is not a square, then it does not have four right angles. |
| |
|
Hint |
|
| |
4. |
''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. |
If you double an odd number, the result is another odd number. |
| |
|
D. |
The result of doubling 317 is an even number. |
| |
|
Hint |
|
| |
5. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and  1 and 2 are vertical. Which is not true based on the Law of Detachment? |
| |
|
A. |
1 and 2 are congruent. |
| |
|
B. |
1 and 2 both have a measure of 45. |
| |
|
C. |
Both1 and 2 are obtuse. |
| |
|
D. |
1 and 2 are not congruent. |
| |
|
Hint |
|
|
|