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Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

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

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

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

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

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

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

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

Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT(a) A and B
(b) A and C
(c)
B and C
(d)
All of these

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

Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

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

Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERTWorksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERTWorksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERTWorksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

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

(i)
Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

(ii)
Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

(iii)
Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

(iv)
Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

(v)
Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

(vi)

Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

(vii)

Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

(viii) 

Worksheet: Symmetrical Designs | Mathematics (Maths Mela) Class 5 - New NCERT

You can access the solutions to this worksheet here.

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FAQs on Worksheet: Symmetrical Designs - Mathematics (Maths Mela) Class 5 - New NCERT

1. What is a symmetrical design?
Ans. A symmetrical design is a pattern or arrangement that is identical on both sides of a central line or point. This type of design can be found in various forms of art, architecture, and nature. Symmetry often creates a sense of balance and harmony, making the design visually appealing.
2. How can we identify symmetry in shapes and designs?
Ans. Symmetry in shapes can be identified by folding the shape along a line of symmetry. If both halves match perfectly, the shape is symmetrical. In designs, symmetry can be observed through reflective symmetry (where one side mirrors the other) or rotational symmetry (where a design looks the same after a certain rotation).
3. Why is symmetry important in art and design?
Ans. Symmetry is important in art and design because it creates balance and order. It can evoke feelings of calmness and stability. Many artists and designers use symmetry to draw attention to specific elements and to create aesthetically pleasing compositions that resonate with viewers.
4. Can you give examples of symmetry in nature?
Ans. Yes, symmetry in nature can be observed in various forms, such as the bilateral symmetry of animals (like butterflies and humans), radial symmetry in flowers (like daisies and sunflowers), and the symmetrical patterns found in snowflakes. These natural occurrences of symmetry contribute to the beauty and complexity of the natural world.
5. How do we create our own symmetrical designs?
Ans. To create your own symmetrical designs, start by choosing a central line or point. Then, draw or arrange elements on one side, ensuring they are mirrored on the opposite side. You can use tools like rulers and compasses for precision, or simply sketch by hand, focusing on maintaining balance and uniformity throughout the design.
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