Congruent Meaning: Definition, Examples, and Translations
๐ฒ
congruent
[หkษลษกruษnt ]
Definitions
mathematics
Agreeing or consistent, especially in relation to geometric figures being identical in shape and size.
Synonyms
Which Synonym Should You Choose?
| Word | Description / Examples |
|---|---|
| congruent |
This word is commonly used in geometry and mathematics to describe figures or shapes that are exactly the same size and shape.
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| identical |
This word is used to describe things that are exactly the same in every detail. Itโs common in science, general descriptions, and discussions of appearance or characteristics.
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| equal |
Used to indicate that two or more amounts, sizes, values, or qualities are the same. Itโs often found in mathematical equations, comparisons, and discussions of fairness or justice.
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| equivalent |
This term is used when two things are the same in value, function, meaning, or effect but may appear different in other ways. It's often seen in math or logic, as well as general comparisons.
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Examples of usage
- The two triangles are congruent.
- In order to prove the triangles are congruent, we must show that all corresponding angles and sides are equal.
general
In agreement or harmony.
Synonyms
compatible, consistent, harmonious.
Which Synonym Should You Choose?
| Word | Description / Examples |
|---|---|
| congruent |
Another instance of the same word, generally used in mathematical contexts or when referring to congruence in other areas.
|
| consistent |
Used when something remains the same over a period of time or is in line with something else.
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| compatible |
Used to describe when things work well together or can exist together without conflict, often in a technical or relational context.
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| harmonious |
Used when elements are in harmony, often in musical, social, or esthetic contexts.
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Examples of usage
- His actions are congruent with his words.
- We need to ensure that our actions are congruent with our values.
Translations
To see the translation, please select a language from the options available.
Interesting Facts
Mathematics
- In geometry, two figures are congruent if they can be made to overlap by rotating, flipping, or sliding them.
- Congruent triangles have all matching side lengths and angles, which helps in solving various math problems.
- The symbol for congruence is 'โ ', often used in geometric proofs to show that two shapes are identical.
Psychology
- In psychology, congruence refers to the alignment between a person's self-perception and their actual experiences.
- Carl Rogers, a prominent psychologist, emphasized the importance of congruence for emotional well-being and authenticity.
- In therapy, achieving congruence can help individuals feel more at peace with who they are.
Art
- In art, congruent shapes and colors can create harmony in a composition, leading to a more pleasing aesthetic.
- Artists often explore congruence and symmetry to evoke certain feelings or balance in their artwork.
- The concept of congruence can be seen in various movements, like the minimalist movement that values simplicity and alignment.
Philosophy
- Philosophically, congruence may reflect the idea of harmony between beliefs and actions, promoting a consistent life approach.
- The concept suggests that when one's beliefs are congruent with their actions, they are more likely to achieve personal satisfaction.
- Explorations of congruence can lead to discussions about authenticity and the nature of self.
Environmental Science
- In environmental science, congruence can refer to the consistency of ecological findings across different studies or locations.
- Restoration projects aim for congruent ecosystem functions, meaning they match natural processes closely.
- Striving for congruence in environmental policies helps ensure that stated goals align with actual practices and outcomes.
Origin of 'congruent'
The word 'congruent' comes from the Latin word 'congruentem', which means 'agreeing'. It has been used in mathematics to describe geometric figures that are identical in shape and size since the 18th century. In general usage, it has been used to describe things that are in agreement or harmony since the 19th century.