In the question provided, select a figure from amongst the four alternatives,…

2023

In the question provided, select a figure from amongst the four alternatives, which when placed in the blank space of figure (X) would complete the pattern.

Identify the figure that completes the pattern.

(X) (1) (2) (3) (4)

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

Attempted by 1 students.

Show answer & explanation

Correct answer: A

Concept: A figure-completion grid built as a 2×2 block is completed by applying the block's own construction rule to the missing cell — here, left-right mirror symmetry about the vertical mid-line, so each quadrant on the right must reproduce the quadrant on its left, flipped horizontally.

Application: The top-left and top-right quadrants of figure (X) confirm this rule: the diagonal, the curve, and the fan of lines in the top-left reappear in the top-right, flipped left to right. Apply the same reflection to the bottom-left quadrant, which shows a long diagonal running toward the upper-right area, a curved arc, and a fan of lines that meets the lower edge in a narrow wedge, all crossing near the centre in a star-like pattern. Reflecting it horizontally gives a bottom-right quadrant whose diagonal instead runs toward the upper-left area, whose arc curves the opposite way, and whose wedge and connecting lines converge at the bottom-right corner instead. Figure (1) reproduces this reflected line-structure exactly — the same star-like crossing position, the same single wedge line meeting the bottom-right corner, and the same diagonal orientation.

Cross-check: The fully assembled reference figure below shows this same left-right mirror symmetry holding across all four quadrants, confirming the rule. Checking line-for-line against the remaining figures rules them out:

  • Figure (2) adds one extra connecting segment near the centre that the true reflection does not produce.

  • Figure (3) leaves a large part of the square blank, with the crossing lines confined to only the left column and a small triangle, rather than carrying the mirrored pattern across the whole square.

  • Figure (4) has its lines converging at the bottom-centre with extra triangular sections across the full width, rather than converging at the bottom-right corner as the reflection requires.

Answer: figure (1).

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