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.

Show that the relation R defined in the set A of all triangles as : R = [(T_1, T_2): T_1 and T_2 are similar triangles} 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 = {(P_1, P_2) : P_1 and P_2 have same number 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 triangles as R={(T_(1),T_(2)):T_(1) is similar to T_(2)} is an equivalence relation.

Show that each of the relation R in the set A = {x in Z : 0 le x le 12} , given by: R = {(a, b) : a = b} , is an equivalence relation. Find the set of all elements related to 1 in each case.

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.

Let L be the set of all lines in XY plane and R be the relation in L defined as R= {(L_1 ,L_2): L_1 is parallel to L_2 )}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

Let L be the set of all lines in XY-pJane and R be the relation in L defined as R={(L_(1), L_(2)): L_(1) is parallel to L_2 }. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4

Show that the relation R in the set Z of integers given by R = {(a, b) : 2 divides a – b} is an equivalence relation.