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Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6 PDF Download

Q.1. In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.

Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6

Q.2. Draw the line (s) of symmetry for each of the following figures :

Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6

Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6

Q.3. Match the following :

 Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6

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)Worksheet: Symmetry - 2 | Worksheets with Solutions for Class 6This figure has 4 lines of symmetry.

You can access the solutions to this worksheet here.

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FAQs on Worksheet: Symmetry - 2 - Worksheets with Solutions for Class 6

1. What is symmetry in geometry?
Ans. Symmetry in geometry refers to a balanced and proportionate similarity found in two halves of an object. When a shape can be divided into two identical parts that are mirror images of each other, it is said to have symmetry. Common examples include butterflies and human faces.
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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