Fill in the blanks :

(i) A circle has …………… lines of symmetry.

(ii) The letter S does not possess …………… symmetry.

(iii) A semi-circle is symmetrical about the …………… of its diameter.

(iv) The letter H has …………… line(s) of symmetry.

(v) A quadrilateral having 4 lines of symmetry as well as rotational symmetry of order 4 is …………… .

(i) A circle has infinite lines of symmetry.

(ii) The letter S does not posses linear symmetry.

(iii) A semi-circle is symmetrical about the perpendicular bisector of its diameter.

(iv) The letter H has two line(s) of symmetry.

(v) A quadrilateral having 4 lines of symmetry as well as rotational symmetry of order 4 is square.

Explanation

(i) Every diameter of a circle acts as a fold line that splits it into two identical halves. Since we can draw infinitely many diameters, there are infinitely many lines of symmetry.

(ii) If we try to fold the letter S vertically or horizontally, the curves point in opposite directions. It only looks the same if we rotate it 180° (rotational symmetry).

(iii) For a semicircle, the only way to get matching halves is to fold it exactly down the middle of the flat edge (the diameter).

(iv) The letter H is balanced both left-to-right and top-to-bottom, giving it two axes of reflection.

(v) While a rectangle has rotational symmetry of order 2 and two lines of symmetry, only a square reaches "perfection" with 4 lines (including diagonals) and a matching rotational order of 4.