PROPERTIES are basic (or essential) elements or attributes, owned or possessed by something. Usually, the properties are concrete, intrinsic and objective.
CHARACTERISTICS are prominent aspects, qualities or features of something. Normally these are extrinsic and subjective.
For example, the characteristic of iron is that it is hard while its property is that its melting point is 1811K.
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Mainly the presence or absence of any right angles.
Properties
Its periodicity and amplitude remain the same.
These are characteristics of the elements of algebraic structures, or algebraic sets. Each element in the set possesses these characteristics and that is why they are called properties.