Students often refer to Maths Mela Class 5 Solutions Chapter 10 Symmetrical Designs Question Answer NCERT Solutions to verify their answers.
Class 5 Maths Chapter 10 Symmetrical Designs Question Answer Solutions
Symmetrical Designs Class 5 Maths Solutions
Class 5 Maths Chapter 10 Solutions
Alphabet Cutout CQ NCERT (Page 136)
Which of the following alphabet cutouts can be made by just drawing half (\(\frac{1}{2}\)) or quarter (\(\frac{1}{4}\)) of the letter? You can do it by drawing lines of symmetry on the letters.
Which of the letters have a horizontal line of symmetry? _________________
Which of the letters have a vertical line of symmetry? ____________________
Which letters have both vertical and horizontal lines of symmetry?________
Answer:
Horizontal line of symmetry
Vertical line of symmetry
Both vertical and horizontal lines of symmetry
Let Us Make a Windmill Firki (Pages 137-138)
Observe the dot in the firki. Does the firki look the same after \(\frac{1}{4}, \frac{1}{2}, \frac{3}{4}\), and a full turn? .
Answer:
The firki does not look the same after a \(\frac{1}{4}\) turn, a \(\frac{1}{2}\) turn, a \(\frac{3}{4}\) turn.
The firki only looks the same after a full turn.
Observe the letters below. Do they look the same when turned? Dots have been marked on the letters to keep track of the orientation of letters. You may also cut out the letters and fix the centre point of the letter by a nail or use a tracing paper to check if the letter looks the same when turned.
Answer:
Let Us Do (Page 138)
Find symmetry in the digits.
Which digit(s) have reflection symmetry?
Answer:
0, 1, 3, and 8
Which digit(s) have rotational symmetry?
Answer:
0, 1 and 8
Which digit(s) have both rotational and reflection symmetries?
Answer:
0, 1 and 8
Now, let us look at the following numbers: 11, 1001
Do these have (a) rotational symmetry, (b) reflection symmetry or (c) both symmetries?
Answer:
Both 11 and 1001 have (c) both symmetries.
Give examples of 2-, 3-, and 4- digit numbers which have rotational symmetry, reflection symmetry, or both.
Answer:
2-Digit Numbers
- Reflection Symmetry only: 38
- Rotational Symmetry only: 69
- Both Symmetries: 88
3- Digit Numbers
- Reflection Symmetry only: 308
- Rotational Symmetry only: 689
- Both Symmetries: 101
4- Digit Numbers
- Reflection Symmetry only: 8003
- Rotational Symmetry only: 9006
- Both Symmetries: 1881
Making Designs (Page 139)
(a) Does the design have rotational symmetry? Yes/No.
Answer:
No
(b) Try to 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 your notebook.
Answer:
We will add a new circle on left hand side, so that the new figure after a \(\frac{1}{2}\) turn the design look same.
(c) Now try to modify or add more shapes so that the new design looks the same after \(\frac{1}{4}\) turn. Draw the new design in your notebook.
Answer:
(d) Do the new designs have reflection symmetry? If yes, draw the lines of symmetry.
Answer:
Let Us Think (Page 139)
Does this design look the same after a \(\frac{1}{2}\) turn?
Answer:
Yes.
Does the design look the same after a \(\frac{1}{4}\) turn? No.
Answer:
No.
Colour the square given in the adjoining figure using tow colours so that the design looks the same after every \(\frac{1}{4}\) turn.
How many times does this shape look the same during a full turn?
Answer:
4 times.
Do these designs have reflection symmetry also? Draw the line(s) of symmetry.
Answer:
Yes
Let Us Do (Page 140)
Question 1.
Does this shape have reflection symmetry? If yes, draw its line of symmetry.
Answer:
Yes
Question 2.
Does it have rotational symmetry? If yes, at which turn?
Answer:
Yes at \(\frac{1}{2}\) turn
Question 3.
Does it have both symmetries?
Answer:
Yes. It have both symmetries reflection and rotational.
Now, make your designs. Sort your designs in 3 categories— designs with only rotational symmetry, designs with only reflection symmetry, and designs with both rotational and reflections symmetry.
Answer:
Let Us Explore (Pages 140-141)
Block printing is a traditional craft of Rajasthan, known for beautiful patterns and bright colours.
Artisans use carved wooden blocks to print designs on fabric.
This art has been practised for centuries and makes Rajasthan’s textiles special.
Below are images of wooden blocks and a part of their prints. Match each block to its correct print by drawing a line. One is done for you.
Answer:
Observe the pattern made by the wooden block below. We get . the final print by using the block 4 times.
The design A looks the same after every \(\frac{1}{4}\) turn.
Answer:
The design B looks the same after every ¼ turn. This design has rotational symmetry.
Let Us Do (Page 141)
Observe the shapes given on the border. Which of the shapes have reflection symmetry? Put a (✓) mark on them. Put a * on the shapes that have rotational symmetry.
Answer:
Project Work (Page 141)
Create symmetrical patterns and designs using vegetable blocks. Some are shown below.
Answer:
Do it yourself.