Page 219 - ICSE Math 6

2. In the following figures, draw the line(s) of symmetry, if possible.

(a) (b) (c)

(d) (e) (f)

3. For each of the following, draw a sketch showing the lines of symmetry and then write the number
of lines of symmetry.

(a) An isosceles triangle (b) An arc (c) A segment of a circle
(d) Line segment (e) Square (f) Rectangle
4. Out of the vowels, A, E, I, O and U, how many are symmetric?
5. Draw the following letters with their line(s) of symmetry, if any. Also, count the total lines of
symmetry for each.
(a) C (b) F (c) X (d) Y (e) Z
6. Draw an obtuse-angled triangle with no line of symmetry.
7. Draw a right-angled triangle with 1 line of symmetry.
8. What is the word formed by completing the letters along the given line of symmetry in
‘ ’?
9. Draw ∠XYZ = 90° with XY = YZ = 8 cm. Draw a line of symmetry of ∠XYZ.
10. Draw a right-angled DRPQ with PQ = QR = 5.8 cm. Draw a line of symmetry of DPQR.
11. Draw a line segment PQ of length 6 cm. Draw a line with respect to which points P and Q are
symmetric.
12. In each of the following figures, construct a point B symmetric to the point A with respect to the
given line l.

l
A A
(a) (b) (c)
l A

l

13. A quality controller at a glass manufacturing company checks whether
each glass manufactured is symmetric about a vertical line or not.
Being a quality controller which of the given glasses will you reject
or accept? Why? A B
14. A non-symmetric arrow will miss its target most of the time.
Which of the following arrows may miss their targets due to
the given reason?

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

203