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Class 5 Maths Chapter 10 Symmetrical Designs Question Answer Solutions
Symmetrical Designs Class 5 Maths Solutions
Class 5 Maths Chapter 10 Solutions
NCERT Textbook Page 136
Alphabet Cutout
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.
Solution:
Letters with (\(\frac{1}{4}\)) symmetry.
Letters with (\(\frac{1}{2}\)) symmetry.
Which of the letters have a horizontal line of symmetry? _________________
Solution:
Which of the letters have a vertical line of symmetry? ____________________
Solution:
Which letters have both vertical and horizontal lines of symmetry?________
Solution:
Let Us Do
Use lines of symmetry to make paper cutouts of diya, boat, and other designs. Look along the border of the page to fine the pictures.
Solution:
Do it yourself.
NCERT Textbook Pages 137-138
Let Us Make a Windmill Firki
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?
Solution:
Yes
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 tracing paper to check if the letter looks the same when turned.
Solution:
NCERT Textbook Page 138
Let Us Do
Find symmetry in the digits.
Solution:
Horizontal line of symmetry.
Both horizontal and vertical line of symmetry
Which digit(s) have reflection symmetry?
Solution:
Which digit(s) have rotational symmetry?
Solution:
Which digit(s) have both rotational and reflection symmetries?
Solution:
Now, let us look at the following numbers: ||, |00|
Do these have
(a) rotational symmetry,
(b) reflection symmetry or
(c) both symmetries?
Solution:
||, |00| have both rotational and reflection symmetry.
Give examples of 2-, 3-, and 4-digit numbers which have rotational symmetry, reflection symmetry, or both.
Solution:
2-digit number which have rotational and reflection symmetry both is ||.
3- digit numbers which have rotational and reflection symmetry both are ||| , |0|.
4- digit numbers which have rotational and reflection symmetry both are |||, |00|
NCERT Textbook Page 139
Making Designs
(a) Does the design have rotational symmetry?
Yes/No.
Solution:
No, it does not look the same after any rotation
i.e., \(\frac{1}{2}\) or \(\frac{1}{4}\) turn .
(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 2 in your notebook.
Solution:
Do it yourself.
(c) Now try to modify or add more shapes so that the new design looks the same after ~ turn.
Draw the new design in your notebook.
Solution:
Do it yourself.
(d) Do the new designs have reflection symmetry? If yes, draw the lines of symmetry.
Solution:
Do it yourself.
Let Us Think
Does this design look the same after \(\frac{1}{2}\) turn?
Solution:
Yes, the design looks the same after \(\frac{1}{2}\) turn.
Does this design looks the same after \(\frac{1}{4}\) turn?
Solution:
No, the design does not look the same after \(\frac{1}{4}\) turn.
Colour the square given in the adjoining figure using two 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?
Do these designs have reflection symmetry also? Draw the line(s) of symmetry.
Solution:
The image looks the same after every \(\frac{1}{4}\) turn.
During a full turn it looks same four times. The shaded design does not have reflection symmetry.
NCERT Textbook Pages 139-140
Let Us Do
Cut out squares and equilateral triangles with the same side length. These are provided at the end of the book.
Make different symmetrical designs by using these two shapes.
Solution:
Do it yourself.
Does this shape have reflection symmetry? If yes, draw its line(s) of symmetry.
Solution:
Yes the shape has reflection symmetry. Its lines of symmetry are drawn as shown in the picture below.
Does it have rotational symmetry? If yes, at which turn?
Solution:
The shape has rotational symmetry of \(\frac{1}{2}\) turn also.
Does it have both symmetries?
Solution:
Yes, the shape have both symmetries.
NCERT Textbook Page 140
Let Us Explore
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.
Solution:
NCERT Textbook Page 141
Let Us Do
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.
The design A looks the same after every \(\frac{1}{4}\) turn.
The design B looks the same after every ____________ turn. This design has _________________symmetry.
Solution:
Do it yourself.
Project Work
Create symmetrical patterns and designs using vegetable blocks. Some are shown below.
Solution:
Do it yourself.