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Q.1. In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.
Q.2. Draw the line (s) of symmetry for each of the following figures :
Q.3. Match the following :
For example : A scalene triangle has no line of symmetry, so (c) is matched with (g).
Q.4. Consider the first ten capital letters of English alphabet, list among them the letters which have :
(i) Vertical lines of symmetry (e.g. A)
(ii) Horizontal lines of symmetry (e.g. B)
(iii) No lines of symmetry (e.g. F)
(iv) Both-vertical and horizontal lines of symmetry (e.g. H)
Q.5. State whether the following statements are True or False :
(i) Perpendicular bisector of a line segment is also its line of symmetry.
(ii) Angle bisector of an angle, with equal arms, is also its line of symmetry.
(iii) All the chords of a circle are its lines of symmetry.
(iv) A pentagon can have exactly one line of symmetry.
(v) A regular octagon has 8 lines of symmetry.
(vi) Two diagonals of a rectangle are its lines of symmetry.
(vii)
This figure has 4 lines of symmetry.
You can access the solutions to this worksheet here.
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FAQs on Worksheet: Symmetry - 2 - Mathematics for Class 6
| 1. What is symmetry in geometry? |  |
| 2. How can we identify lines of symmetry in shapes? | |
Ans. To identify lines of symmetry in shapes, you can fold the shape along a line. If both halves match perfectly when folded, then that line is a line of symmetry. For example, a square has four lines of symmetry, while a rectangle has two.
| 3. What are the different types of symmetry? | |
Ans. The different types of symmetry include reflective symmetry (where one half is a mirror image of the other), rotational symmetry (where a shape can be rotated about a central point and still look the same), and translational symmetry (where a shape can be moved in space and still look the same).
| 4. Can you give examples of everyday objects that exhibit symmetry? | |
Ans. Yes, many everyday objects exhibit symmetry. For instance, a folded paper, a leaf, the human face, and even buildings often have symmetrical designs. These objects can typically be divided into symmetrical halves.
| 5. Why is symmetry important in art and design? | |
Ans. Symmetry is important in art and design because it creates a sense of balance and harmony. It can draw the viewer's attention and make a composition more aesthetically pleasing. Artists and designers often use symmetry to evoke feelings of stability and order.
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Mar 31, 2025
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