Are the sets {a} and {1,1,1} equivalent?

Are the ratios 1:2 and 2:3 equivalent?

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.

Are 1/3 and 2/7, 2/5 and 2/7, 2/9 and 6/27 equivalent? Give reasons. Are 1/3 and 2/7 equivalent? Give reason.

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.

Show that the following sets of points are the vertices of an equilateral triangle :- (1, 1),(- 1,-1) and (-sqrt3,sqrt3) .

Are 1/3 and 2/7 equivalent?Give reason.

Are 1/3 and 2/9 equivalent?Give reason.