NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

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Textbook	NCERT
Board	CBSE
Category	NCERT Solutions
Class	Class 7
Subject	Maths
Chapter	Chapter 14
Exercise	Symmetry Exercise 14.1
Number of Questions Solved	10

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

NCERT TEXTBOOK EXERCISES

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

Solution:

Question 2. Given the line(s) of symmetry, find the other hole(s):

Solution:

Question 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

Question 4. The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry:

Identify multiple lines of symmetry, if any, in each of the following figures:

Solution:

Question 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? Will the figure be symmetric about both the diagonals?

Solution

Yes! there is more than one way to make the figure symmetric.

• Let us take the diagonal BD and shade the squares as shown in the figure to make the figure symmetric about BD.
• Similarly, the figure is symmetric about the diagonal AC. Thus, the figure is symmetric about both the diagonals.
• The figure is symmetric about EF and GH also.

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

Solution:

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

(a) An equilateral triangle
(b) An isosceles triangle
(c) A scalene triangle
(d) A square
(e) A rectangle
(f) A rhombus
(g) A parallelogram
(h) A quadrilateral
(i) A regular hexagon
(j) A circle.

Solution:

Question 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:

Question 9. Give three examples of shapes with no line of symmetry.

Solution:

(b) A scalene triangle,
(c) A parallelogram

Question 10. What other name can you give to the line of symmetry of

1. an isosceles triangle?
2. a circle?

Solution:

1. Median
2. Diameter

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 PDF

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Class 7 Maths Chapter 14 Symmetry

• Class 7 Maths Chapter 14 Symmetry Ex 14.1
• Class 7 Maths Chapter 14 Symmetry Ex 14.2
• Class 7 Maths Chapter 14 Symmetry Ex 14.3