KT 7 Maths

KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1

Karnataka State Syllabus Class 7 Maths Chapter 14 Symmetry Ex 14.1

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

e)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 154
Solution:
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 155

f)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 156
Solution:
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 157

 

g)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 158
Solution:

h)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 160
Solution:

 

Question 5.
Copy the figure given here :
Solution:
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?
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 the figure is symmetric about the diagonals.
iii) 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)
Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about both the diagonals?
Solution:

 

Question 7.
State the number of lines of symmetry for the following figures.
Solution:
a)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 18
3 lines of symmetry.

b)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 19
1 line of symmetry

c)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 20
Zero or No lines of symmetry.

d)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 21
4 lines of symmetry

e)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 22
2 lines of symmetry

f)
KSEEB Solutions for Class 7 Maths Chapter 14 Symmetry Ex 14.1 23
2 lines of symmetry

g)

i)

6 lines of symmetry

j)

Many or Infinite number of symmetry.

Question 8.
What letters of the English alphabet have reflectional symmetry (i.e. symmetry related to mirror reflection) about.
a. a vertical mirror
A H I M O T U V W X Y
These letter have vertical symmetry

b. a horizontal mirror
B C D E H I O X
These letter have horizontal symmetry.

c. both horizontal and vertical mirrors
H I O X
These have both horizontal and vertical symmetry

Question 9.
Give three examples of shapes with no line of symmetry.
Solution:
1) Quadrilateral
2) Scalene triangle
3) Parallelogram
Have no line of symmetry.

 

Question 10.
What other names can you give to the line of symmetry of
a) an isosceles triangle?
b) a circle?
Solution:
a) The line of symmetry in an isosceles triangle is also known as Median.
b) The line of symmetry in a circle is also called Diameter.

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