Let T bt the set of all triangle in the...

Let T bt the set of all triangle in the coordinate plane. Show that the relations in T defined as `R_1 = {(T_1,T_2) : T_1, T_2 in T}` `T_1` is similar to `T_2` and `R_2 = {(T_1, T_2) : T_1, T_2 in T}`, `T_1` is congruent to `T_2`, are equivalence relations.

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