Worksheet Solutions: Symmetrical Designs

Q1. A figure is said to have symmetry if it can be divided into:
a) Equal halves
b) Unequal parts
c) Only straight lines
d) Circles only
Answer: a) Equal halves

Q2. How many lines of symmetry does a square have?
a) 2
b) 3
c) 4
d) 5
Answer: c) 4

Q3. Which of the following shapes has only one line of symmetry?
a) Circle
b) Equilateral triangle
c) Rectangle
d) Isosceles triangle
Answer: d) Isosceles triangle

Q4. How many lines of symmetry does a circle have?
a) 1
b) 2
c) 4
d) Infinite
Answer: d) Infinite

Q5. Which alphabet has 2 lines of symmetry?
a) A
b) H
c) C
d) F
Answer: b) H

Q6: A rectangle has how many lines of symmetry?
a) 1
b) 2
c) 3
d) 4
Answer: b) 2

Q7: Which of the shapes is divided into two mirror halves by a dotted line?

(a) A and B
(b) A and C
(c) B and C
(d) All of these
Ans: (c)

• Shape A: A symmetric star, but the given dotted line may not create perfect mirror halves.
• Shape B: A butterfly, which has clear bilateral symmetry along the dotted line.
• Shape C: A hexagonal shape that appears symmetric along the given dotted line.

Since B and C are properly divided into two equal mirror halves by the dotted line, the correct answer is:

Answer: (c) B and C

Q8: In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.

Ans. 

Q9: Draw the line (s) of symmetry for each of the following figures :

Ans. 

Q10: Is the dotted line on each shape a line of symmetry? Write yes or no.

(i)
Ans: Yes

(ii)
Ans: No

(iii)
Ans: No

(iv)
Ans: Yes

(v)
Ans: No

(vi)

Ans: Yes

(vii)

Ans: Yes

(viii) 

Ans: No