Question

select all the following that can be used as reasons in a pro
opinions
guesses
properties
theorems
prove
postulates / facts
given

Explanation:

In a proof, we need valid and established information. Properties are well - known characteristics (e.g., the commutative property of addition \(a + b=b + a\)). Theorems are proven statements (e.g., the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\) for right - angled triangles). Postulates/Facts are basic assumptions or established truths (e.g., a straight line can be drawn between any two points). Given is the information provided at the start of the proof. Opinions are subjective and not based on proof. Guesses are not reliable. "Prove" is an action, not a reason.

Answer:

C. Properties, D. Theorems, F. Postulates / Facts, G. Given