Class 6 - Mathematics : Symmetry
Exercise : 13.2
Top Block 1
NCERT Solutions Class 6 Mathematics Symmetry Ex 13.2
Question: 1.Find the number of lines of symmetry for each of the following shapes:
Answer :
(a) 4, (b) 4, (c) 4, (d) 1, (e) 6, (f) 4, (g) 0, (h) 0, (i) 3
Question: 2. Copy the triangle in each of the following figures, on squared paper. In each case, draw the line(s) of symmetry. If any and identity the type of triangle. (Some of you may like to trace the figures and try paper-folding first!)
Answer :
(a) l1 is the line of symmetry.
(b) l1 is the line of symmetry.
(c) l1 is the line of symmetry.
(d) No line of symmetry.
Question: 3.Complete the following table:
| Shape | Rough figure | No. of lines of symmetry |
|---|---|---|
| Equilateral triangle |
| 3 |
| Square | ||
| Rectangle | ||
| Isosceles triangle | ||
| Rhombus | ||
| Circle |
Answer :
| Shape | Rough figure | No. of lines of symmetry |
|---|---|---|
| Equilateral triangle |
| 3 |
| Square |   | 4 |
| Rectangle |  | 2 |
| Isosceles triangle |  | 1 |
| Rhombus |  | 2 |
| Circle |  | Infinite |
Question: 4.Can you draw a triangle which has:
(a) exactly one line of symmetry?
(b) exactly two lines of symmetry?
(c) exactly three lines of symmetry?
(d) no lines of symmetry?
Sketch a rough figure in each case.
Answer :
(a) Yes, Isosceles triangle
Mddle block 1
(c) Yes, Equilateral triangle
Question: 5.On a squared paper, sketch the following:
(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
(b) A quadrilateral with both horizontal and vertical lines of symmetry.
(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
(d) A hexagon with exactly with two lines of symmetry.
(e) A hexagon with six lines of symmetry.
(Hint: It will be helpful if you first draw the lines of symmetry and then complete the figures)
Answer :
(a)
Question: 6.Trace each figure and draw the lines of symmetry, if any:
Answer :
(a) No line
Question: 7.Consider the letters of English alphabets A to Z. List among them the letters which have:
(a) vertical lines of symmetry (like A)
(b) horizontal lines of symmetry (like B)
(c) no lines of symmetry (like Q)
Answer :
Vertical lines: A, H, I, M, O, T, U, V, W, X, Y
Horizontal lines: B, C, D, E, H, I, K, O, X
No line of symmetry: F, G, J, I, N, P, Q, R, S, Z
Question: 8.Given here are figures of a few folded sheets and designs drawn about the fold. In each case, draw a rough diagram of the complete figure that would be seen when the design is cut off.
Answer :
