Skip to content / Đến nội dung
ThichHocToan.com

Rotation and symmetry · SET 16

Question 1

The grey box shows paper being folded and then punched. Which option shows the holes after the paper is completely unfolded?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 2

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.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration
  7. Question illustration
  8. Question illustration

Question 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.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration
  7. Question illustration
  8. Question illustration

Question 4

AI reconstruction: Added rule: Turn the whole dot pattern 90 degrees clockwise about the grid centre at every step. Choose the next picture.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 5

Which of the six solids can be rotated to match the given solid? Preserve the colours, lengths and joins of the pieces.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration

Question 6

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.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration
  7. Question illustration
  8. Question illustration

Question 7

Use the standard 32-point compass, with equal divisions of 11.25°. N is north and S is south. Which compass point does the arrow indicate?

Question illustration
  1. NW by N
  2. NNE
  3. NE by N
  4. NE by E
  5. N by E

Question 8

AI reconstruction (instruction and added conditions): Interpret the arrows as two reflections of the colour pattern. First make a left–right reflection and put it in the upper-left square. Then make a top–bottom reflection of that result and put it in the lower-left square. Keep the page fixed. Which option is the final pattern?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 9

AI reconstruction: Across each row, turn the figure 45 degrees clockwise at every step. Do not change its shape. Which option completes the last row?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 10

Which option shows the figure after folding along the dotted line? Fold the paper without cutting it.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 11

AI reconstruction: Choose the missing cell. Read down each column, then continue at the top of the next column. Follow the unfilled T, black T and small square separately.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration
  7. Question illustration
  8. Question illustration

Question 12

AI reconstruction. Added condition: apply the same two changes to the lower pair as to the upper pair: turn each individual shape upside down in its own position, and interchange red and yellow. Keep the upper and lower shapes in their original places. Which option completes the pair?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 13

Which of the six solids can be rotated to match the given solid? Preserve the colours, lengths and joins of the pieces.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration

Question 14

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.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration

Question 15

AI reconstruction. The entire flat coloured ring turns 90 degrees anticlockwise at each step. Do not exchange colours or reflect the picture. Which option is the fourth position?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 16

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.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 17

Which option shows the shape in the grey box after it is folded along the dotted line?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 18

AI reconstruction. Each complete disk turns 90° clockwise, carrying its colored caps and two inner circles with it. Which disk comes next? No color is replaced or duplicated.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration

Question 19

Choose the odd one out. Compare each complete pattern under rotation.

Question illustration
  1. A
  2. B
  3. C
  4. D

Question 20

AI reconstruction: Choose the missing cell. Read down each column, then start the next. Imagine the cross before rotation as two five-square strips sharing their center. Alternately extend the shading from the top of the vertical strip and the right of the horizontal strip. A square shaded by both strips becomes white.

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration
  6. Question illustration
  7. Question illustration
  8. Question illustration