* **Q1. *

*Find the number of symmetrical lines for the each figure given below by drawing the lines.*

*Ans:*

(a) There are total 4 lines of symmetry in the given figure.

(b) There are total 4 lines of symmetry in the given figure.

(c) There are total 4 lines of symmetry in the given figure.

(d) There is only 1 line of symmetry in the given figure.

(e) There are total 6 lines of symmetry in the given figure.

(f) There are total 6 lines of symmetry in the given figure.

(g) There is no line of symmetry in the given figure.

(h) There is no line of symmetry in the given figure.

(i) There are total 3 lines of symmetry in the given figure.

The line of symmetry in the above figures can be represented as follows

* *

*Q2. *

*Draw the line of symmetry.*

*Ans:*

- l
_{1 }is the line of symmetry. - l
_{1 }is the line of symmetry. - l
_{1}is the line of symmetry. - No line of symmetry.

*Q3. *

*Complete the tablegiven below:*

** Ans:** The above table can be completed as follows

In the case of a circle, there can be an infinite number of lines. In the above table, only some lines of symmetry are drawn. More line of symmetry can be similarly drawn from it.

* *

*Q4. *

*Is it possible to draw a triangle which*

* (a) has only one line of symmetry? *

* (b) has exactly 2 lines of symmetry? *

* (c) has exactly 3 lines of symmetry?*

* (d) has no lines of symmetry?*

*Sketch the rough figure in each case *

*Ans:*

(a) Yes, we can make an isosceles triangle which has 1 line of symmetry.

(b) No, we can’t draw such a triangle.

(c) Yes, we can make an equilateral triangle which has 3 symmetrical lines.

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

* *

*Q5. *

*Can you draw the following?*

*(a) A triangle having no vertical symmetrical line but has a line of symmetry in the horizontal direction.*

*(b) A quadrilateral having both vertical and horizontal symmetrical line.*

*(c) A quadrilateral with a horizontal line but no vertical line of symmetry. *

*(d) A hexagon having exactly 2 lines of symmetry. *

*(e) A hexagon having 6 lines of symmetry.*

* *

*Ans:*

(a) A triangle with only 1 horizontal line of symmetry and no other vertical lines of symmetry can be sketched as follows.

(b) A quadrilateral with both horizontal and vertical lines of symmetry can be drawn as follows.

(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry can be drawn as follows.

(d) A hexagon with exactly 2 lines of symmetry can be sketched as follows.

* *

*Q6. *

*Trace each figure and draw the lines of symmetry, if any*

*Ans:*

(a) The given figure is an isosceles triangle. Therefore, there will be one line of symmetry.

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

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

(d) The given figure has only one line of symmetry.

(e) The given figure has four line of symmetry.

* *

*Q7. *

*How many among the letters of English alphabet have *

* (a) lines of symmetry in the vertical direction (like A)?*

* (b) lines of symmetry in the horizontal direction (like B)? *

* (c) no lines of symmetry (like Q)?*

*Ans:*

(a) A, H, I, M. 0, T, U, V, W, X,

(b) B, C, 0, E, H, I, K, 0,X

(c) F, G4, L, N, P, Q, R. 5, Z

* *

*Q8. *

*The figure given below is drawn on a folded sheet, draw the rough image of how it would look like when the designs are cut off. *

*Ans:*

The complete figure is as follows:

* ** *