State whether the following statement are true or false:

(i) Two congruent figures are similar.

(ii) Two similar figures are congruent.

(iii) Two polygons are similar if their corresponding sides are proportional.

(iv) Two polygons are similar if their corresponding sides are proportional and the corresponding angles are equal.

(v) Two polygons are similar if their corresponding angles are equal.

(i) True

Two figures are said to be congruent if their corresponding sides are equal and their corresponding angles are also equal.

For figures to be similar, the corresponding angles should be equal which is true in case of congruent figures. Thus, the congruent figures are also similar.

(ii) False

For figures to be similar, the corresponding angles are equal.

Two figures are said to be congruent if their corresponding sides are equal and their corresponding angles are also equal.

Thus, two similar figures are congruent only if their corresponding sides are equal.

(iii) False

Two polygons have proportional sides are similar if and only if the corresponding angles are also equal.

(iv) True

(v) True

Two polygons are similar if their corresponding sides are proportional and the corresponding angles are equal.