NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

These NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry

Exercise 14.1

Question 1.
Copy the figures with punched holes and find the axes of symmetry for the following:
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 1

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

Question 2.
Given the line (s) of symmetry. Find the other hole (s):
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 2

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?
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 3

Question 4.
The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 4
Identify multiple lines of symmetry, if any, in each of the following figures :
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 5

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

Question 5.
Copy the figure given here.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 6
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?
Answer:
Yes, there is more than one way to make the figure symmetric.
(i) Let us take the diagonal BD and shade the squares as shown in the figure to make the figure symmetric about BD.(ii) Similarly, thefigureissymmetricaboutthediagonal AC. Thus, the figure is symmetric about both the diagonals.
(iii) The figure is symmetric about EF and GH also.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 7

Question 6.
Copy the diagram and complete each shape to be symmetric about the mirror line (s)
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 8

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
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 9
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 10

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

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
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 11

Question 9.
Give three examples of shapes with no line of symmetry.
Answer:
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 12
(b) A scalene triangle
(c) A parallelogram

Question 10.
What other name can you give to the line of symmetry of
(a) an isosceles triangle? (b) a circle?
Answer:
(a) Median of an isosceles triangle.
(b) Diameter of a circle.

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