general

definition of congruence

The term congruence is used to refer to the relationship of similarity or balance that can exist between two or more elements.

Normally, congruence is a phenomenon that can occur in mathematical sciences, both in algebra and in geometry. However, congruence is also a phenomenon that can occur in various areas of life that make up a person's day-to-day life.

The term derives from the Latin congruens which just referred in this language to agree, to have two elements coherence or to be logical and timely. For example, it can be used to tell someone that their action or thought is logical.

Use in mathematics

Congruence understood at the geometric level refers to the parity or equilibrium that exists between two numbers at the algebraic level. This congruence can be observed in a concrete way in two or more geometric figures (such as a square or triangle) that have equal sides and angles between them. There are many ways that geometric congruence can be observed in figures. In the field of algebra, congruence always supposes an equivalence between two elements or numerical structures, which means that, ultimately, they are the same since when transformed by another number they give the same result.

However, congruence is not observed at the scientific or mathematical level only. In this sense, it can be said that congruence can also be a way of expressing oneself. When a thought or an idea is congruent with another, that indicates that the person who expresses it is coherent and does not generate any type of contradiction between one part and the other. Congruence can also occur between the thought, idea or way of expressing one person and another.

Its application in people: act according to the proposed plans

We usually say that a person acts with congruence, that is congruent by case, when he works in order to the plans that have been drawn up in a timely manner and that will lead him to obtain the proposed end. This is the same as saying that that person acts logically. It is much more common to hear people speak in terms of logical performance than in congruence, although of course, it is correct if it is expressed in the latter way.

A text, a sentence, a sentence and other written forms can also become congruent with each other if they seek and manage to express the same ideas or feelings. When that congruence is lost, sometimes the forms of expression become disordered, unintelligible and contradictory since they do not follow a general line or thought.

Consistency in procedural law

In the field of law we can also find the use of this concept. More precisely, at the request of procedural law, this concept appears and consists of the conformity between what is resolved in the judgment and the claims of the parties to the case and that they were manifested in the record. Or, failing that, between accusation and sentence, when dealing with criminal cases. The mission is to ensure compliance with the right to defense in a trial, trying to avoid manifest partiality and any type of arbitrary decision.

Always, the judicial process must achieve coherence between the plaintiff's claim, what the defendant opposes, the evidence and the sentence.

Use in religion

And the concept has also been used in the religious sphere to refer to divine grace that acts, works on the person.

The other side of the congruence is the incongruity that will be the lack of agreement, relationship or correspondence between one thing and another. For example, the one who says to do one thing and in practice we see him do something totally opposite, that is incongruity.

And also the incongruity is something illogical or contradictory.

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