Question

Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?

Answer 1

thoughts on this one?

in general, there's 2 broad types of reasoning - deductive and inductive.



https://danielmiessler.com/images/Screen-Shot-2019-11-12-at-9.38.00-PM.png

as the diagram illustrates, deductive reasoning starts with general principles (such as generalized statements, known theories, etc.) to make conclusions about specific observations

the opposite is inductive reasoning - starting with specific observations and using them to make generalized statements or theories

so looking back at your question, do you think jared is using inductive or deductive reasoning?

Answer 2

Deductive reasoning, maybe?

Answer 3

good, deductive, since he started with a theorem and used it to make a conclusion about his specific case

Answer 4

Thank you so much