Symmetry Patterns

The grid exhibits horizontal, vertical, or point symmetry.

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The grid exhibits horizontal, vertical, or point symmetry.

Symmetry patterns require the grid to mirror itself along an axis or around a central point. Horizontal symmetry means left and right columns are reflections. Vertical symmetry means top and bottom rows mirror each other. Point symmetry (180° rotational) means opposite corners match.

Horizontal: cell[r][0] = cell[r][2], Vertical: cell[0][c] = cell[2][c], Point: cell[r][c] = cell[2-r][2-c]

Left column shapes identical to right column shapes
Top row mirrored in bottom row
Corners with matching shapes (top-left = bottom-right)

How to recognize it

Compare opposite sides of the grid
Check if folding the grid would align shapes
Look for matching pairs across the center

Common mistakes

Confusing horizontal and vertical symmetry
Not checking all symmetric pairs
Missing point symmetry around the center

Step-by-step walkthrough

In a 3x3 matrix with horizontal symmetry, column 1 mirrors column 3. Column 1 shows: triangle, square, circle (top to bottom). Column 3, row 3 is missing. What shape belongs there?

Identify the symmetry type
Find the corresponding cell in column 1
Apply the mirror rule
The missing cell must match its mirror

Answer: Circle

Practice guidance

Pattern Recognition