1.
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
A.
reasonable doubt
B.
inductive reasoning
C.
detachment reasoning
D.
deductive reasoning
Hint
2.
Find the number of different segments formed by 8 collinear points.
A.
28
B.
21
C.
36
D.
27
Hint
3.
Which law is similar to the Transitive Property?
A.
Law of Deductive Reasoning
B.
Law of Conditional
C.
Law of Detachment
D.
Law of Syllogism
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.
The result of doubling 234 is an odd number.
B.
When you triple a number, the result must be an even 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
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.
Both
1 and
2 are obtuse.
D.
1 and
2 are not congruent.
Hint