Symmetrical Designs Class 5 Worksheet with Answers Maths Chapter 10

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Class 5 Maths Chapter 10 Symmetrical Designs Worksheet with Answers Pdf

Symmetrical Designs Class 5 Maths Worksheet

Class 5 Maths Chapter 10 Worksheet with Answers – Class 5 Symmetrical Designs Worksheet

Alphabet Cutout
Raji and Jehni decided to decorate their classroom to welcome a new student. They planned to paste the word “WELCOME” on the wall using paper cutouts of the letters.

They realized that some letters could be cut more easily by folding the paper and drawing only half or sometimes even one-fourth of the letter. The rest of the letter would appear when the paper was unfolded because of symmetry.

Activity

1. Fold a paper in half.
2. Draw half of the letter W along the fold.
3. Cut along the outline.
4. Now, open the paper to see the full letter W.

The letter W has a vertical line of symmetry.

Question 1.
Draw the lines of symmetry of the following letters.

Question 2.
Which of the following alphabet cutouts can be made by just drawing half \(\left(\frac{1}{2}\right)\) or quarter \(\left(\frac{1}{4}\right)\) of the letter?

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Question 3.
Out of the letters given in Question 2, how many letters have both a vertical and a horizontal line of symmetry?
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Think and Answer
Use lines of symmetry to make paper cutouts of a butterfly and a leaf.

Let Us Make a Star
Raji wanted to decorate her notebook with a star. She folded a sheet of paper along a vertical line and drew half of the star on one side. After cutting along the outline and unfolding the paper, she got a beautiful four-armed star, perfectly symmetrical.

Question 4.
Does Raji’s star look the same after \(\frac{1}{4}, \frac{1}{2}, \frac{3}{4}\) and a full turn?
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Question 5.
Do the letters given below look the same when turned? If yes, then mention the turn.

Question 6.
Identify which of the given numbers have rotational symmetry, reflection symmetry or both. Write in the appropriate boxes.

Making Designs

Question 7.
(a) Does the given design have rotational symmetry?
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(b) Change the design by adding some shape(s) so that the new design looks the same after a \(\frac{1}{2}\) turn. Draw the new design in the space provided below.

(c) Does the new design obtained have reflection symmetry? If yes, draw the lines of symmetry.
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Think and Answer

Look at the figure and find out how many lines of symmetry it has.

Question 8.
Draw the line(s) of symmetry for the following shapes:

Question 9.
Look at the adjoining shape.

(a) Does this shape have reflection symmetry? If yes, draw its line(s) of symmetry.
(b) Does it have rotational symmetry? If yes, at which turn?
(c) Does it have both symmetries?
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Question 10.
Draw two geometrical shapes having no lines of symmetry.

Question 11.
Madhya Pradesh is well known. Jor Its distinctive Bagh block printing. This craft is characterised by its geometric and floral patterns.
Below are images of wooden blocks and a part of their prints. Match each block to its correct print.

Question 12.
Tick (✓) the correct option.
(i) The letter H has rotational symmetry, as it looks the same when rotated by
(a) \(\frac{1}{2}\) a turn
(b) \(\frac{1}{4}\) a turn
(c) \(\frac{3}{4}\) a turn
(d None of these

(ii) A square has rotational symmetry, as it looks the same when rotated by
(a) \(\frac{1}{2}\) a turn
(b) \(\frac{1}{4}\) a turn
(C) \(\frac{3}{4}\) a turn
(d) All of these

(iii) Which of the following objects is an example of reflection symmetry?
(a) A spinning top
(b) A pair of butterfly wings
(C) A rotating wheel
(d) A fan

Question 13.
Fill in the blanks:
(I) The digit 9 has ____________ lines of symmetry.
(ii) The digit 8 has ____________ lines of symmetry.
(iii) The digit 3 has ____________ line(s) of symmetry.
(iv) The letter H has ____________ lines of symmetry.
(y) The letter M has ____________ lines of symmetry.
(vi) The letter P has ____________ lines of symmetry.

Question 14.
(a) Which type of symmetry does this figure have?
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(b) How many lines of symmetry does this figure have?
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(c) Does this design look the same after a \(\frac{1}{2}\) turn?
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(d) Does this design look the same after a \(\frac{1}{4}\) turn?
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Question 15.
The design looks the same after every ____________ turn. This design has ____________ symmetry.

Question 16.
Solve the Riddle
‘I can choose a letter of the alphabet having rotational symmetry but no reflectional symmetry’. What letter(s) can I choose?
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Question 17.
Draw a simple block print design and show its line of symmetry.

Question 18.
Can a block print have more than one line of symmetry? Give an example.
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Question 19.
Which of the following images have reflection, symmetry and which have rotational symmetry? Put a tick (✓) mark in the space provided below.