The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry:


Identify multiple lines of symmetry, if any, in each of the following figures:



The lines of symmetry are marked in the figure:


Question figure



Answer figure



Explanation







The figure has 3 lines of symmetry. The figure has an equilateral triangle and 3 different quadrants of a circle and hence, can be divided into 2 identical halves in 3 ways.







The figure has 2 lines of symmetry. The figure has 2 semi circles inscribed in a square and hence, can be divided into 2 identical halves in 2 ways.







The figure has 3 lines of symmetry. The figure has 4 triangular shapes interconnected and hence, can be divided into 2 identical halves in 3 ways.







The figure has 2 lines of symmetry. The figure has a shape inscribed in a square. The diagonals of the square are the lines of symmetry.







The figure has 4 lines of symmetry. The figure has a shape symmetrical about horizontal and vertical axis along with the diagonals of the square.







The figure has only one line of symmetry. The figure can only be divided by the horizontal axis through the middle.







The figure has 4 lines of symmetry. The figure has a square and 4 different quadrants of a circle and hence, can be divided in 4 ways.







The figure has 6 lines of symmetry. The figure has 5 different circles overlapping each other and hence, can be divided into 2 identical halves in 6 ways.



4