what do you understand from the word congruence . where and why we use this property in our daily life ?

Question

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Answer 1

Congruence is a form of equivalence. If two triangles are congruent then they have the same angles. If two numbers are congruent modulo another number "n", then their difference is divisible by n.
A clock is an example of the second type of congruences. We don't keep track of every hour since we started noting time, but we say that 24 cong 0. If it's 13:00 on Monday and 13:00 on Wednesday, then these are considered the same time since the difference between these times is 48hrs and 48=2•24.

Answer 2

As an abstract term, congruence means similarity between objects. Congruence, as opposed to equivalence or approximation, is a relation which implies a kind of equivalence, though not complete equivalence.

In mathematics, congruence is formally represented by a triple-tilde , whereas approximation is represented by the double-tilde . In both cases, the single tilde (~) may sometimes be used as a substitute (which may cause confusion due to its usage in logic and computer programming languages for representing negation). Congruence modulo n is usually denoted "≡" (see congruence relation for an example).

In arithmetic and algebra, congruence refers to a congruence relation.
In euclidean geometry, congruence refers to the equivalence of shapes. See congruence (geometry).
In the theory of smooth manifolds, especially in the context of general relativity, Congruence (general relativity) refers to the integral curves defined by a vector field.
In psychology and NLP, congruence could be defined as rapport within oneself, or internal and external consistency, perceived by others as sincerity or certainty.
In cladistics, congruence is a test of homology, or shared, derived character states, in which the distributions of supposed homologies among taxa are compared for consistency.