State whether the following pair of polygons are similar or not.

Two polygons of the same number of sides are similar if

a) all the corresponding angles are equal.

b) all the corresponding sides are in the same ratio (or proportion)

In case of polygons □ ABCD and ◊ ABCD

The corresponding sides of a polygon ABCD and ABCD are proportional, but their corresponding angles are not equal as we can see the first figure is of a square (all angles are of 90°) and other is of a rhombus (in rhombus the diagonal meet in the middle at a right angle). Hence, polygon ABCD and ABCD are not similar.