Answer :

It is given that the relation R defined in the set A of all triangles as

R = {(T1, T2): T1 is similar to T2},


Now, R is reflexive as every triangle is similar to itself.


Now, if (T1, T2) ϵ R, then T1 is similar to T2.


T2 is similar to T1.


(T1, T2) ϵ R


Therefore, R is symmetric.


Now, if (T1, T2), (T2, T3) ϵ R,


T1 is similar to T2 and T2 is similar to T3.


T1 is similar to T3.


(T1, T3) ϵ R


Therefore, R is transitive.


Therefore, R is equivalence relation.


Now, we can see that,



Therefore, the corresponding sides of triangles T1 and T3 are in the same ratio.


Thus, triangle T1 is similar to triangle T3.


Therefore, T1 is related to T3.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Fill in theMathematics - Exemplar

State True Mathematics - Exemplar

State True Mathematics - Exemplar

State True Mathematics - Exemplar

Let A = {1, 2, 3}Mathematics - Exemplar

Show that the relMathematics - Board Papers

Let N denote the Mathematics - Board Papers