Discussion
The least number of squares to be added in the figure to make AB a line of symmetry is
Answer: A
The least number of squares is 6.
For AB to be a line of symmetry, every square must have a mirror-image square on the other side of AB at the same distance. Check each of the six squares in the figure:
- Left group: the square above the line needs a partner directly below it, the square below the line at the far left needs a partner above it, and the lower square two rows down needs a partner two rows up. None of these partners is present: 3 squares.
- Right group: all three squares lie below the line (two in the first row, one in the second), and none has a partner above: 3 squares.
No existing square is already the mirror image of another, so all six need partners, and 3 + 3 = 6 squares must be added. 4 and 5 leave some square unmatched, and 7 adds more than necessary.
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