Concept:
This is an analogy-based visual reasoning problem:
\[
X : Y :: Z : ?
\]
The task is to identify the transformation applied from \(X \rightarrow Y\) and apply the same to \(Z\).
Step 1: Analyze transformation from \(X\) to \(Y\).
In figure \(X\), one quadrant is shaded differently
In figure \(Y\), the shaded portion shifts position (clockwise)
The structure remains same, only shading rotates
Step 2: Apply same logic to \(Z\).
\(Z\) is a pentagon with one triangular region marked
The transformation should rotate/shifting of the shaded/marked region
Step 3: Predict the next figure.
The marked triangular region in \(Z\) should:
Move to the next position in clockwise direction
Step 4: Option analysis.
(A) Correct: region shifts properly maintaining orientation \checkmark
(B) Incorrect: wrong position of shaded part $\times$
(C) Incorrect: incorrect orientation $\times$
(D) Incorrect: misplaced region $\times$
(E) Incorrect: transformation not followed $\times$
Conclusion:
Thus, the correct answer is Option (A).
