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

Ans. 

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


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

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

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

Ans. 

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


Q.3. Match the following :

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

For example : A scalene triangle has no line of symmetry, so (c) is matched with (g).

Ans.
(a) ↔ (l)
(b) ↔ (k)
(c) ↔ (g)
(d) ↔ (h)
(e) ↔ (j)
(f) ↔ (i)

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) 

Ans.
(i) A, H, I
(ii) B, C, D, E, H, I
(iii) F, G, J
(iv) H, I


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

Ans.
(i) True
(ii) True
(iii) False
(iv) True
(v) True
(vi) False
(vii) False

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

1. What is symmetry in geometry?
Ans.Symmetry in geometry refers to a balanced and proportional arrangement of shapes or objects. An object is said to be symmetrical if it can be divided into two identical halves that are mirror images of each other. There are two main types of symmetry: line symmetry (reflection symmetry) and rotational symmetry.
2. How can we identify line symmetry in shapes?
Ans.Line symmetry can be identified by drawing a line (called the line of symmetry) through a shape. If the two halves of the shape on either side of the line are identical in shape and size, then the shape is said to have line symmetry. Common examples include butterflies and hearts.
3. What are some examples of rotational symmetry?
Ans.Rotational symmetry occurs when a shape can be rotated around a central point and still look the same at certain angles. For example, a star has rotational symmetry if it looks the same after rotating it by certain degrees (like 72 degrees). Other examples include a square and a circle.
4. Why is symmetry important in real life?
Ans.Symmetry is important in real life as it is often associated with beauty and balance in nature and art. It is used in various fields, such as architecture, design, and biology. For instance, many flowers and animals exhibit symmetry, which can attract mates and aid in survival.
5. How do we solve problems related to symmetry in worksheets?
Ans.To solve symmetry problems in worksheets, students should first identify the type of symmetry the shape possesses. Then they can use methods such as drawing lines of symmetry, counting symmetrical parts, or finding angles of rotation. Practicing with various shapes will enhance their understanding and problem-solving skills.
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