A line of symmetry is defined as a line that divides a figure into two parts…

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A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.

The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative)

Four-by-four square grid. Counting rows from top and columns from left, black squares are (1,3), (2,1), (4,3). Vertical line PQ runs between columns 2 and 3, with P above and Q below. Diagonal MN extends from beyond the lower left corner to beyond the upper right corner, labelled M lower left and N upper right. All grid lines, shading and extended line ends retained.
  1. A.

    3

  2. B.

    4

  3. C.

    5

  4. D.

    6

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