Correct Option (4)
The matrix follows a combination of two distinct patterns for the geometric shapes and the lines within them:
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Shape Progression: The geometric shapes (Circle, Square, Triangle) exhibit a consistent cyclic progression across both rows and columns.
- In Row 1, the sequence is Circle, Square, Triangle.
- In Row 2, the sequence is Square, Triangle, Circle.
- Following this pattern, in Row 3, the sequence starts with Triangle, Circle, leading to the missing figure being a Square.
- Similarly, in Column 3, the sequence is Triangle, Circle, also indicating the missing figure is a Square.
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Line Orientation and Position: The orientation and position of the line within the shapes follow a specific pattern.
- Observe the lines in the second column: The figure in cell (1,2) has a vertical line on the left, the figure in cell (2,2) has a horizontal line at the bottom, and the figure in cell (3,2) has a vertical line on the left. This indicates a pattern where the line characteristic of cell (1,2) is repeated in cell (3,2).
- Extending this pattern to the third column and considering the relationship within the third row, the line in the missing figure (3,3) adopts the characteristics of the line in cell (3,2), which is a vertical line on the left.
- Therefore, the line in the missing figure is a vertical line on the left.
Combining these patterns, the figure that occupies the blank space is a Square with a vertical line on the left.
Incorrect Options:
- Option 1 (Circle with vertical line on right): This option is incorrect because the shape is a Circle, which violates the cyclic shape progression that requires a Square in cell (3,3).
- Option 2 (Square with horizontal line at top): While the shape (Square) is correct according to the progression, the line orientation and position (horizontal line at top) do not align with the established pattern for the lines, which dictates a vertical line on the left for cell (3,3).
- Option 3 (Triangle with horizontal line at bottom): This option is incorrect because the shape is a Triangle, which violates the cyclic shape progression that requires a Square in cell (3,3).