Sequence of Transformations

Rotation:

A part or whole of the figure may be rotated by a certain angle.

Illustration 1:

Select a suitable figure from the answer figures to replace (?)

In the figures, the shaded leaf rotates by 225⁰ in the clockwise direction while the un-shaded leaf rotates by 225⁰ in the anti-clockwise direction. Scanning through the options, we see that the 3rd figure satisfies these conditions. Thus, the answer is 3.

Enclosure:

A specific part or whole of the figure may be enclosed in some shape.

Sides/ Lines:

The number of sides/ lines in the figure may follow a certain progression.

Illustration 2:

Select a suitable figure from the answer figures to replace (?)

In these figures, the polygon rotates 90⁰ Clock-Wise, gets smaller in size and gets enclosed by a figure with one less side than itself. So the last figure will have a rhombus enclosed in a triangle. Thus, the correct answer is 1.

Vertical/ Lateral Inversion:

The figure may be inverted vertically, laterally, or both during successive transformations.

Illustration 3:

Select a suitable figure from the answer figures to replace (?)

Figure B is the result of vertical inversion of A. We may, thus, conclude that a figure is vertically inverted in the subsequent figure. Thus, the missing figure will be an inverted form of C. Looking at the answer figures, we see that figure 1 follows this transformation. Thus, the answer is 1.

Shifting

A specific or whole of the figure may be shifted in any direction.

Combination

A figure may follow more than one of the above-mentioned transformations.

Illustration 4

Select a suitable figure from the answer figures to replace (?)

Except for the dots, the remaining part of the figure gets inverted and shifts to the opposite side of the square boundary. Thus, in the final figure, the sign ‘<‘will be inverted and will shift to the left side of the square boundary. This will be figure 3 from the answer figures. Thus, the answer will be 3.