Which answer figures given will complete the pattern in the question figure?

2022

Which answer figures given will complete the pattern in the question figure?

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Attempted by 126 students.

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Key observation: the big square is divided into four equal inner squares and a diagonal runs from the top-left to the bottom-right. Three of the inner squares contain a small filled right triangle in the corner that touches the common centre; these small triangles form a rotational sequence around the centre.

  • Step 1: Identify the repeated element. Each of the filled small triangles is placed in the inner square corner adjacent to the centre.

  • Step 2: Observe the order. Moving around the centre, the small filled triangles rotate by 90° (a consistent clockwise rotation).

  • Step 3: Determine the missing element. The empty inner square must contain a small filled right triangle in the corner touching the centre, oriented so the sequence of triangles continues the same 90° clockwise rotation.

  • Step 4: Match with the answer figures. Only the figure that places a small filled triangle in the missing inner square corner (touching the centre) with the correct orientation and with the diagonal running as in the question completes the pattern.

Conclusion: the correct answer is the figure that shows the diagonal and the small filled triangle placed in the empty inner square corner adjacent to the centre, oriented so the four inner triangles form a continuous 90° clockwise rotation. That figure completes the pattern.

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