Rotation and symmetry · SET 15

Which option can be rotated to make the target shown? Keep every solid block, its colour and its connections unchanged. A long block without an internal dividing line stays one piece.

AI reconstruction. Read the panels in row order. Rotate the complete pair of red and yellow track shapes 90 degrees anticlockwise each step, keeping their overlap order. Choose the fourth panel.

AI reconstruction: Choose the missing cell. Read left to right, row by row. The two lines take turns rotating; track the two circles separately. If the circles coincide, the black circle covers the unfilled one.

AI reconstruction: Choose the option that completes the visual pattern in the 3×3 matrix. Compare the positions, shapes and any colors or directions across its rows and columns.

AI reconstruction: Choose the missing picture. Added condition: Within each column, moving down one row rotates the shaded petal pattern 45 degrees clockwise, without changing the number of shaded petals.

Which of the two solids, A or B, can be rotated to make the solid shown? Rotation must keep every cube attached in the same way.

Which option shows the figure folded along the dotted line? Keep all the paper; do not cut any part away.

The first figure changes into the second. Apply the same relationship to the third figure. Which option completes the analogy? Use the English alphabet A–Z for the letters.

Figure 1:


Figure 2:


Figure 3:

AI reconstruction: The written question was missing. The upper pair shows a transformation. Apply the same changes to the lower-left picture. Which option belongs in the lower-right box? Compare the shapes, positions, shading and directions.

AI reconstruction. In each row, move every symbol and the empty quadrant 90 degrees anticlockwise at each step. Rotate the bar or triangle by the same amount; keep the stars upright. The solid and hollow round/star markers retain their fills, while the bar/triangle marker alternates solid and hollow. Choose the missing bottom-row panel.

AI reconstruction: The written question was missing. The upper pair shows a transformation. Apply the same changes to the lower-left picture. Which option belongs in the lower-right box? Compare the shapes, positions, shading and directions.

Which option shows the figure after it is folded along the dotted line? Track the outline on both sides of the fold.

Which option shows the figure in the grey box folded along the dotted line? Compare the reflected flap with the part that stays still.

AI reconstruction. Fill the two missing upper sloping bands and the missing lower-right inner triangular region so that the coloured design is unchanged by a 180-degree rotation about its centre. Preserve the thin white separators. Which group of coloured pieces fits?

The grey box shows folds followed by punched holes. Which option shows the paper after every fold has been opened?

AI reconstruction. Added condition: the dotted vertical line is a mirror line. Choose the outline that belongs on its right as the reflection of the orange shape on its left. The answer drawings are reduced in size; compare their shape and orientation.

AI reconstruction: Choose the missing cell. Read left to right through successive rows. Track each fixed triangle position as the rotations start one position at a time, beginning at the bottom.

Which option shows the paper shape after it is folded along the dashed line? Reflect the folded part across that line; do not cut or stretch the paper.

AI reconstruction. Follow the two curved arrows. At each step, rotate the owl a quarter-turn anticlockwise in the plane; do not reflect it. Which owl belongs in the final box?

Apply the transformation shown by the dot diagrams to the arrow array. Choose A–H.