Final answer:
A statement in mathematics can be proven true using undefined terms, definitions, and postulates, as these elements provide a foundational framework for deductive reasoning and proofs.
Step-by-step explanation:
Is a statement that can be proven true using undefined terms, definitions, and postulates? The correct answer to this would be Yes. In mathematics, specifically in the context of geometry, undefined terms are concepts like point, line, and plane that are accepted as intuitive primitives upon which other definitions and theorems are built. Definitions provide precise meanings to these terms whereas postulates (or axioms) are statements considered to be universally true without proof. When attempting to prove a statement as true, we rely on these elements to provide a foundational framework. For instance, the statement "A triangle's interior angles sum up to 180 degrees" can be proven true by using the relevant definitions of a triangle and angles, and postulates such as the parallel postulate in Euclidean geometry. This type of proof is deductive, meaning the conclusion follows necessarily from the premises if they are true, hence referred to as a valid deductive inference.
Therefore, when considering the options provided, the phrase closest to this concept is that statements can be determined to be true or false by using the rules or laws of logic and the mathematical systems in place.