Math

QuestionIdentify which options can explain a geometric proof: A. Conjecture B. Corollary C. Definition D. Theorem E. Postulate

Studdy Solution

STEP 1

Assumptions1. We are looking for elements that can be used to explain a statement in a geometric proof. . The options given are Conjecture, Corollary, Definition, Theorem, Postulate

STEP 2

Let's analyze each optionA. Conjecture A conjecture is an educated guess that is based on known information, but has not been proven. Therefore, it cannot be used to explain a statement in a geometric proof.
B. Corollary A corollary is a statement that follows readily from a previous statement. In geometry, a corollary typically follows a theorem. Therefore, it can be used to explain a statement in a geometric proof.
C. Definition A definition explains the meaning of a term. In geometry, definitions are used to define geometric figures and concepts. Therefore, a definition can be used to explain a statement in a geometric proof.
. Theorem A theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms. Therefore, a theorem can be used to explain a statement in a geometric proof.
. Postulate A postulate is a statement that is assumed to be true without proof. In geometry, postulates are used to describe the properties of geometric figures. Therefore, a postulate can be used to explain a statement in a geometric proof.

STEP 3

Based on the analysis in2, the elements that can be used to explain a statement in a geometric proof are Corollary, Definition, Theorem, and Postulate.
The correct options are B, C, D, and.

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