*Q.1. Copy the figures with punched holes and find the axes of symmetry for the following:*

**Solution:**

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

*Q.2. Express the following in exponential form:*

** **

**Solution:**

** **

** **

*Q.3. In the following figures, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?*

** **

**Solution:**

** **

** **

*Q.4. **Identify multiple lines of symmetry, if any, in each of the following figures:*

** **

** **

**Solution:**

*Q.5. Copy the figure given here: Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Is the figure symmetric if using both diagonals as lines of symmetry?*

**Solution:**

Yes, there is more than one way. Yes, this figure will be symmetric using both the diagonals.

*Q.6. Copy the diagram and complete each shape to be symmetric about the mirror line(s):*

**Solution:**

*Q.7. State the number of lines of symmetry for the following figures: *

*(I) An equilateral triangle *

*(II) An isosceles triangle *

*(III) A scalene triangle *

*(IV) A square *

*(V) A rectangle *

*(VI) A rhombus *

*(VII) A parallelogram *

*(VIII) A quadrilateral *

*(IX) A regular hexagon *

*(X) A circle*

**Solution:**

*Q.8. What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.*

*(a) a vertical mirror *

*(b) a horizontal mirror *

*(c) both horizontal and vertical mirrors*

**Solution:**

(a) Vertical mirror – A, H, I, M, O, T, U, V, W, X and Y

(b) Horizontal mirror – B, C, D, E, H, I, O and X

(c) Both horizontal and vertical mirror – H, I, O and X

*Q.9. Give three examples of shapes with no line of symmetry.*

**Solution:** The three examples are:

(i)Quadrilateral

(ii)Scalene triangle

(iii)Parallelogram

*Q.10. What other name can you give to the line of symmetry of:*

* (a) an isosceles triangle?*

* (b) a circle?*

**Solution: **

(a) The line of symmetry of an isosceles triangle is median or altitude.

(b) The line of symmetry of a circle is diameter.

Class 7^{th}

Chapter-14

Symmetry