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Let T be the set of all triangles in a plane with R be a relation in T given by R={(T¹,T²):T¹ is congruent to T²}. Show that the R is an equivalence realtion.

Posted by Lakshya Jain 7 years, 8 months ago

CBSE > Class 12 > Mathematics

3 answers

Lakshya Jain 7 years, 8 months ago

Thank you

Nitin Vats 7 years, 8 months ago

F(a a) T1 is congruent to T1 because every triangle is congruent to itself hence it is reflexive F(a,b) T1 is congruent to T2 it means F(a,b) T2 is congruent to T1 hence it is symmetric F(a,b) T1 is congruent to T2 F(b,c)T2 is congruent to T3 F(a,c) T1 is also congruent to T3 hence it is reflexive Therefore R is an equivalence relation

Nitin Vats 7 years, 8 months ago

F(a,a) T1 is congruent to T1 because every triangle is congruent to itself

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