Tell whether each of the following statements is a theorem...

Tell whether each of the following statements is a theorem or a definition.
a. If two angles are right
b. If a ray bisects an angle, it angles, then they are divides the angle into two congruent. congruent angles.

Key Concepts

Congruence

Congruence in geometry refers to the idea that two figures or angles are equal in shape and size. When angles are congruent, they have the same measure, and this concept is critical for establishing equalities and relationships within geometric configurations.

Angle Bisector

An angle bisector is a ray or line segment that divides an angle into two equal parts. It is defined by its property of creating two congruent angles, making it a key tool in both geometric constructions and proofs.

Theorem

A theorem in geometry is a declarative statement that has been rigorously proven using established axioms, definitions, and previously proven theorems. It stands as a true result within the framework of geometric reasoning once its proof is accepted by the mathematical community.

Definition

A definition in geometry specifies the meaning of a term or concept clearly and unambiguously. Unlike theorems, definitions do not require proof; they serve as the foundational vocabulary for discussing and exploring more complex ideas and relationships in the subject.

Right Angle

A right angle is an angle that measures exactly 90 degrees. This fundamental concept in geometry is used to describe the relationship between perpendicular lines and is a common basis for many geometric definitions and theorems.

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