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 to add is 6.
For AB to be a line of symmetry, every square must have its mirror image across AB. Number the columns 1 to 4 from A to B. The figure has one square above the line, in column 2. Below the line it has squares in columns 1, 3 and 4 of the first row, and in columns 2 and 4 of the second row.
- The square above the line in column 2 needs a mirror in the first row below: 1 square.
- The first-row squares below in columns 1, 3 and 4 need mirrors in the first row above: 3 squares.
- The second-row squares below in columns 2 and 4 need mirrors in the second row above: 2 squares.
That is 1 + 3 + 2 = 6. Mirroring only the five squares below the line, and forgetting the square already above it, gives 5.
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