Page 191 - Maths Class 06

5. Circle

6. Pentagon

EXAMPLE 1. Classify the following figures as symmetrical or asymmetrical:

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

SOLUTION : Fig. (a) and (e) are symmetrical.
EXAMPLE 2. Draw the/lines of symmetry for the following

historical monument.
SOLUTION :

X

EXAMPLE 3. Find the line of symmetry for a line segment AB.

SOLUTION : Draw a line segment AB and construct its perpendicular O
A B
bisector XY.
The line XY is the line of symmetry.

Y
EXAMPLE 4. How many lines of symmetry a rectangle has?

SOLUTION : Draw a rectangle ABCD and mark the midpoints of all its
sides. A P D

If we fold the rectangle along PR, we observe that the two
parts coincide with each other. Q S
Also, fold it along QS. We find that the two parts of its
B R C
coincide with each other.
Thus, a rectangle has two axes of symmetry.

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