A polygon is regular, or a polygon has a longer side than another side of the polygon. If a polygon is regular, then all the sides of the polygon are congruent. If a polygon has one side that is longer than another side of the polygon, then the polygon’s interior angle has measured greater than one of the polygon’s interior angles. Therefore, either the polygon has congruent sides, or the polygon’s interior angle has a measure greater than one of the polygon’s interior angles.

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A: SSS Theorem: triangles with equal corresponding sides are congruent to each other.

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.