Page 251 - Ganit Kaushal

(b) To get such a square at the centre, fold the square paper twice along the two lines

of symmetry (i.e., horizontal and vertical), as shown. Then, a single straight cut
will create such a square at the centre on unfolding the paper.
(Students are advised to do this as an activity.)

Ex 6. On a squared paper, sketch the following:

(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
(b) A quadrilateral with both horizontal and vertical lines of symmetry.

(c) A quadrilateral with a vertical line of symmetry but no horizontal line of symmetry.
(d) A hexagon with exactly 2 lines of symmetry.

(e) A hexagon with 6 lines of symmetry.

(f) A triangle with exactly 2 lines of symmetry.

Sol. (a) (b) (c)

(d) (e)

(f) No, there does not exist such a triangle which has exactly 2 lines of symmetry.

Ex 7. Trace each figure and draw the lines of symmetry, if any: (NCERT)

(a) (b) (c) (d)

Sol. (a) (b) (c) (d)

There are 4 lines There are 2 lines There is 1 line There are 4 lines
of symmetry of symmetry of symmetry of symmetry

Symmetry 249