These NCERT Solutions for Class 6 Maths Chapter 13 Symmetry InText Questions and Answers are prepared by our highly skilled subject experts.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry
NCERT In-text Question Page No. 262
You have two set-squares in your ‘mathematical instruments box’. Are they symmetric?
The two set-squares are given as :
The 30° – 60° – 90° set square is not symmetrical.
The 45° – 45° – 90° set square is not symmetrical.
NCERT In-text Question Page No. 264
Form as many shapes as you can by combining two or more set squares. Draw them on squared paper and note their lines of symmetry?
(i) By combining two identical 30° – 60° – 90° set squares, we get the following symmetric figures :
(a) l2 and l2 are the lines of symmetry.
(b) Here, there is only line of symmetry which is shown by ‘m’.
(c) Here, the dotted line ‘p’ is the only line of symmetry.
(d) Here, the dotted line ‘q’ is the only line of symmetry.
(ii) By combining two identical 45° – 45° – 90° set squares, we get the following
(a) Here l1, l2, l3, l4, are lines of symmetry.
(b) In the figure formed, there is only one line of symmetry which is shown by ‘r’.
(iii) By combining three 45° – 45° – 90° identical set-squares, we can have an isosceles trapezium as shown here:
Here, the line of symmetry is shown by the dotted line ‘q’.
NCERT In-text Question Page No. 270
If you are 100 cm in front of a mirror, where does your image appear to be? If you move towards the mirror, how does your image move?
If we are 100 cm in front of a plane mirror our image will be 200 cm away from it (100 cm behind the mirror +100 cm is the position of the object). If we move towards the mirror our image will also move towards as but no change in the size.