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Now, let us place a mirror along the line of symmetry on each piece.

Mirror Mirror

Mirror Mirror line
line

We observe that the shape viewed in the mirror (image) is the same as the shape on the
left side (object) and the two together form the complete shape we have taken before.
Thus, the object and image are symmetrical about the mirror line.

example: Which of the following figures are symmetrical. Also, draw the line of symmetry.

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

(e) (f) (g) (h)

Solution: Figures (d), (e), (g) and (h) are symmetrical about the dotted line (line of
symmetry) because they are exactly the same on both sides of the dotted line.

Figures (a), (b), (c) and (f) are asymmetrical figures because we cannot draw
any line that divides the figures into two halves matching exactly.

Quick Check Get it right!

Draw two geometric figures, Symmetrical
one symmetrical about a line
and the other asymmetrical. Asymmetrical

teacher’s Encourage the students to find symmetry in their own bodies and then around them in nature.
tip

132 Mathematics-3