Axiomatic Reasoning in Geometry

Memorizing geometric formulas and applying them to solve problems

Relying on intuition to validate geometric theorems

Deriving conclusions from established axioms through logical deduction (correct)

Using trial and error to test geometric principles

Thinking that proving theorems involves guesswork and estimation

Assuming that proving theorems only requires solving numerical problems

Assuming that proving theorems requires memorization of all geometric shapes (correct)

Believing that proving theorems can be done without understanding axioms

It provides a foundation for logical deduction and proof in Geometry (correct)

It simplifies the process by allowing guesswork and estimation

It eliminates the need for understanding geometric principles

It restricts the ability to derive new theorems