Question

Let R is the set of all triangles in a plane, aRb exists if a is congruent to b, then R is

1 point

D. Equivalence relation

A. Only reflexive

C. Only Transitive relation

B. Only Symmetric

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Answer 1

Answer:

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Step-by-step explanation:

c. only transitive relation

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Answer 2

The given relation R is an Equivalence relation.

Explanation:

• Two triangles are side to be congruent if they match in shape and size. That is the measure of their corresponding sides and angles are equal.
• Here we know that triangle is congruent to itself. Hence, R is reflexive.
• If two triangles A and B are congruent and another two triangles B and C are congruent then A and C are also congruent. Hence, R is also transitive.
• If triangle A is congruent to triangle B then triangle B is also said to be congruent to triangle A. Hence, R is also symmetric.
• Hence, the relation R is an equivalence relation (that is all three reflexive, transitive and symmetric).