7th Standard CBSE Mathematics - Symmetry Five Marks Questions | QB365

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7th Standard CBSE Mathematics - Symmetry Five Marks Questions

Published on: 09/10/2019

Symmetry

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Questions:

Generic 5

10 x 5 = 50

Draw the line of symmetry of the given figure below and also determine the order of rotational symmetry.

In the following figure, the mirror line (i.e. line of symmetry) is given as a dotted line. Complete the figure performing reflection in the dotted line. Are you able to recall the name of the figure you complete?

Find the number of lines of symmetry and order of symmetry of the following figure.

In each of the following figures, write the number of lines of symmetry and order of rotational symmetry.

State whether the figure shows rotational symmetry. If yes, then what is the order of rotational symmetry?

Does the figure have rotational symmetry?

The flag of Japan is shown below. How many lines of symmetry does the flag have?

In the following figure, show if possible both line and rotational symmetry.

10.

Give the order of rotational symmetry for each figure.

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Answers Key:

Generic 5

10 x 5 = 50

Line of symmetry = 4
Order of symmetry = 8 (angle of rotation = 45°)

Pentagon

Line of symmetry = 2, Order of symmetry = 4

Figure	Number of lines of symmetry	Order of rotational symmetry
a	1	1
b	1	1
c	1	1
d	2	2
e	1	1
f	0	1
g	1	1
h	0	3
i	4	4
j	1	1
k	0	1
l	1	1
m	0	2
n	0	1
o	1	1
p	1	1
q	2	2
r	0	1
s	3	3
t	1	1
u	1	1
v	3	3
w	0	2

The given figure shows rotational symmetry. The order of symmetry is 4, which is clear from the following figure:

The given figure does not show rotational symmetry, because one part of design is undarken, whereas other three part are darken. Hence, the design does not show symmetry.

The flag of Japan shows line of symmetry as

Hence, two lines of symmetry is shown in flag of japan.

In the given figure, line symmetry will be shown as

Also, rotational symmetry will be shown as

\(\frac { 360° }{ 10 } =36°\), i.e. rotational angle is equal to 36°.

In the given figure, line symmetry will be shown as

Also, rotational symmetry will be shown as

\(\frac { 360° }{ 8 } \)=45° , i.e. rotational angle is equal to 45°

10.

Let mark a point A on each figure and also, indicate the angle through which is to be rotated as shown below:

Now, to find the rotational symmetry,we proceed as follows:
For figure (a), it requires two rotations, each through an angle of 180°, about the marked point (X) to come back to its original position. So, it has a rotational symmetry of order 2.
For figure (b), it requires two rotations, each through an angle of 180°, about the marked point (X) to come back to its original position. So, it has a rotational symmetry of order 2.
For figure (c), it requires three rotations, each through an angle of 120° about the marked point (X) to come back to its original position. So, it has a rotational symmetry of order 3.
For figure (d), it requires four rotations, each through an angle of 90°, about the marked point (X) to come back to its original position. So, it has a rotational symmetry of order 4.
For figure (e), it requires four rotations, each through an angle of 90° about the marked point (X) to come back to its original position. So, it has a rotational symmetry of order 4.
For figure (f), it requires five rotations, each through an angle of 72°, about the marked point (X) to come back its original position. So, it has rotational symmetry of order 5.
For figure (g), it requires six rotations, each through an angle of 60° about the marked point (X) to come back its original position. So, it has rotational symmetry of order 6.
For figure (h), it requires three rotations, each through an angle of 120°, about the marked point to come back to its original position. So, it has rotational symmetry of order 3.