Select the related figure from the given alternatives.
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In visual analogy problems, first identify the transformation in the first pair (e.g., rotation, change in shape, change in size, addition/removal of elements) and then apply the exact same transformation to the third figure to find the fourth.
Step 1: Analyze the relationship in the first pair of the analogy shown in the image.
The image shows: (A pair of overlapping triangles) is to (A pair of overlapping circles).
The relationship is that the geometric shape changes. The number of vertices changes from 3 (triangle) to \(\infty\) (circle).
Step 2: Apply the same relationship to the second pair.
The second part of the analogy starts with (A pair of overlapping squares). A square has 4 vertices.
Following the pattern of increasing the number of vertices, the next logical shape in a simple sequence would be a pentagon (5 vertices).
Therefore, the missing figure should be a pair of overlapping pentagons. This corresponds to Figure 1 in the options.