1.
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
2.
Find the number of different segments formed by 8 collinear points.
A.
28
B.
36
C.
21
D.
27
Hint
3.
Which law is similar to the Transitive Property?
A.
Law of Detachment
B.
Law of Deductive Reasoning
C.
Law of Syllogism
D.
Law of Conditional
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.
If you double an odd number, the result is another odd number.
C.
The result of doubling 317 is an even number.
D.
The result of doubling 234 is an 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.
Both
1 and
2 are obtuse.
B.
1 and
2 both have a measure of 45.
C.
1 and
2 are not congruent.
D.
1 and
2 are congruent.
Hint