Show that relation `R = {(P_1, P_2)` : `P_1` and `P_2` have same numbers of sides}, defined on the set of all polygons is an equivalence relation

Show that the relation R defined in the set A of all polygons as R = {(P_1, P_2): P_1 and P_2 have same numbers of sides} is an equivalence relation.

Show that the relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number of sides} , is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4 and 5?

Show that the relation R defined in the set A of all polygons as : R = {(P_1, P_2) : P_1 and P_2 have same number of sides} is an equivalence relation.

Show that relation R = {(L_1, L_2) : L_1 is parallel to L_2 }, defined on the set of all lines, is an equivalence relation.

Show that relation R = {(T_1, T_2) : T_1 is similar to T_2 }, defined on the set of all triangles, is an equivalence relation.

If relation R defined on set A is an equivalence relation, then R is

Let A = {p, q, r}. Which of the following is an equivalence relation on A?

If R_1 and R_2 are equivalence relations in a set A, show that R_1 nn R_2 is also an equivalence relation

If R_1 and R_2 ·are equivalence relations in a set A, show that R_1 nn R_2 is also an equivalence relation.

Show that the relation R defined in the set A of all lines as R = {(L_1, L_2): L_1 and L_2 are parallel lines} is an equivalence relation.