Chapter 13 Exercise 13.1 Chapter 13 Exercise 13.2 Chapter 13 Exercise 13.3 |

**NCERT Answers for Class 6 Maths**

Chapter 12 Ratio and Proportion Exercise 13.2

Chapter 12 Ratio and Proportion Exercise 13.2

**Page 263**

**Ex 13.2 Class 6 Maths Question 1. Find the number of lines of symmety 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

**Ex 13.2 Class 6 Maths 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 identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first!)**

**Answer**

(a) The given triangle is an isosceles triangle. Here it will be only 1 line of symmetry.

(b) The given triangle is an isosceles triangle. Here it will be only 1 line of symmetry.

(c) The given triangle is a right angled triangle. Here it will be only 1 line of symmetry.

(d) The given triangle is a scalene triangle. Here it will be no line of symmetry.

**Ex 13.2 Class 6 Maths Question 3. Complete the following table.**

**Answer**

**Ex 13.2 Class 6 Maths 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, we can draw an isosceles triangle which has only 1 line of symmetry.

(b) No, we cannot draw a triangle which has 2 lines of symmetry.

(c) Yes, we can draw an equilateral triangle which has 3 lines of symmetry.

(d) Yes, we can draw a scalene triangle which has no line of symmetry.

**Ex 13.2 Class 6 Maths 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 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) The figure shows an isosceles triangle with horizontal line of symmetry.

(b) Rectangle (quadrilateral) shows both the horizontal and vertical lines of symmetry.

(c) Trapezium (quadrilateral) shows the horizontal but no vertical line of symmetry.

(d) The hexagon drawn below shows only two lines of symmetry.

(e) The regular hexagon shows the six lines of symmetry.

**Ex 13.2 Class 6 Maths Question 6. Trace each figure and draw the lines of symmetry, if any:**

**Answer**

(a) The given figure has no line of symmetry as it is not symmetrical.

(b) The given figure has two lines of symmetry.

(c) The given figure has four lines of symmetry.

(d) The given figure has two lines of symmetry.

(e) This figure has only one horizontal line of symmetry.

(f) The given figure has two lines of symmetry.

**Ex 13.2 Class 6 Maths 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)**

(a) The following letters have vertical lines of symmetry:

A, H, I, M, O, T, U, V, W, X, and Y

(b) The following letters have horizontal lines of symmetry:

B, C, D, E, H, I, K, O and X.

(c) The following letters have no lines of symmetry:

F, G, J, L, N, P, Q, R, S and Z.

**Ex 13.2 Class 6 Maths 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**

The complete figures will be as follows :

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