Deductive reasoning

imported from quizlet

Inductive reasoning and deductive reasoning difference

Inductive is making the rule
Deductive is applying it

Deductive reasoning

Use facts, definitions, properties, and laws of logic to make a logical argument

Law of detachment

If the hypothesis of a TRUE conditional statement is true, then the conclusion is also true

•Sam goes to the library every Monday and Thursday
•Today is Monday
•write the conclusion

Sam goes to the library

•If 2 angles have the same measure, then they are congruent
• the measure of angle A= the measure of angle B
•conclusion

Angle A is congruent to Angle B

Law of syllogism

If p then q
if q then r
(If both are true)
If p then r

If a rectangle has for equal side lengths then it is a square. If a polygon is a square then it is a regular polygon.
Therefore...

If a rectangle has 4 = side lengths then a rectangle is a polygon