Transitive Property of Congruent Triangles
For 3 triangles say △ABC, △DEF, and △XYZ, as shown in the image added below:
If,
△ABC ≅ △DEF
△DEF ≅ △XYZ
Then,
△ABC ≅ △XYZ
This is called transitive property of congruent triangles.
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Transitive Relations
Transitive Relation is one of the necessary conditions for equivalence relation, as for any relation to be that needs to to Transitive at first. In Transitive Relation, if element A is related to element B and element B is related to element C, then there must also be a relationship between element A and element C, following the same rule or relation. In other words, if A relates to B and B relates to C, then A must relate to C.
This article provides a well-rounded description of the concept of “Transitive Relation”, including definitions, examples, and properties.
Table of Content
- What is a Relation?
- What is Transitive Relation?
- Properties of Transitive Relations
- Other Relations Related to Transitive Relation
- Transitive Property of Congruent Triangles
- Example of Transitive Relation
- Practice Problems on Transitive Relation
- Transitive Relation – FAQs