Congruent triangles have a relation. Which is not an equivalence relation?
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A reflexive
B symmetric
C distributive
D transitive
nvr mind i found it its c
To determine which relation is not an equivalence relation for congruent triangles, let's review the properties of an equivalence relation.
1. Reflexive: A relation is reflexive if a geometric object, in this case, a triangle, is congruent to itself. In other words, every triangle is congruent to itself. Therefore, the reflexive property holds for congruent triangles.
2. Symmetric: A relation is symmetric if for any two triangles A and B, if A is congruent to B, then B is congruent to A. This property ensures that the order of the triangles does not matter. Therefore, the symmetric property holds for congruent triangles.
3. Transitive: A relation is transitive if for any three triangles A, B, and C, if A is congruent to B and B is congruent to C, then A is congruent to C. This property enables us to chain congruence statements together. Therefore, the transitive property holds for congruent triangles.
Now, let's consider the option C: Distributive. The distributive property is related to operations such as multiplication and addition, not congruent triangles. Therefore, the distributive property is not an equivalence relation for congruent triangles.
So, the correct answer is C: Distributive.