NCERT Solutions Class 7 Mathematics Symmetry Ex 14.1

Class 6 - Mathematics
Chapter - Symmetry : Exercise 14.1

Top Block 1

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

Answer :

S.No.	Punched holed figures	The axes of symmetry
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.

Mddle block 1

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

Answer :

S.No.	Line(s) of symmetry	Other holes on figures
A.
B.
C.
D.
E.

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 :

S.No.	Question figures	Complete figures	Names of the figure
A.			Square
B.			Triangle
C.			Rhombus
D.			Circle
E.			Pentagon
F.			Octagon

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

Answer :

S.No.	Problem Figures	Line(s) of symmetry
A.
B.
C.
D.
E.
F.
G.
H.

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?

Answer :
Answer figures are:

Yes, there is more than one way.

Yes, this figure will be symmetric about both the diagonals.

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

Answer :

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 :

S.No.	Figure’s name	Number of lines
A.	Equilateral triangle	3
B.	Isosceles triangle	1
C.	Scalene triangle	0
D.	Square	4
E.	Rectangle	2
F.	Rhombus	2
G.	Parallelogram	0
H.	Quadrilateral	0
I.	Regular Hexagon	6
J.	Circle	Infinite