ID : ru-7-Symmetry [1]
Grade 7
Symmetry
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Answer t he quest ions
(1)
How many lines of symmetry are there in f ollowing f igure?
(2)
In this picture, consider dotted line as mirror and complete the f igure using mirror image on the
right side. What is the shape of complete f igure af ter adding mirror image?
(3)
How many lines of symmetry are there in f ollowing f igure?
(4) How many lines of symmetry are there in f ollowing f igure ?
(5)
Find the order of rotational symmetry in f ollowing image.
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ID : ru-7-Symmetry [2]
(6) What is the order of rotational symmetry in f ollowing image?
Choose correct answer(s) f rom given choice
(7) How many lines of symmetry are there in f ollowing f igure?
(8)
a. 4
b. 2
c. 3
d. 5
Find the order of rotational symmetry in f ollowing image.
a. 7
b. 9
c. 8
d. 5
(9) Which of the f ollowing letter has a vertical line of symmetry ?
a. L
b. V
c. N
d. Z
(10) How many lines of symmetry are there in f ollowing image?
a. None
b. Four
c. T hree
d. Six
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ID : ru-7-Symmetry [3]
(11) How many lines of symmetry are there in a scalene triangle?
a. Six
b. None
c. Five
d. One
Fill in t he blanks
(12)
(13)
(14)
Number of lines of symmetry in f ollowing f igure =
Order of rotational symmetry in f ollowing f igure =
Order of rotational symmetry in f ollowing f igure =
(15) Egor rolls a cube which has f ollowing letters on each f ace,
ITSZNM
f raction of letters on the cube are symmetric (either horizontal or vertical).
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ID : ru-7-Symmetry [4]
Answers
(1)
1
Step 1
T he lines which divides any image into two pieces which are mirror images of each other, is
called lines of symmetry.
Step 2
T he all possible lines of symmetry of the given f igure are shown below:
Step 3
Now you can say that the number of lines of symmetry in the given f igure are 1.
(2)
Square
Step 1
T he shape of complete f igure af ter adding mirror image is like as:
Step 2
Now we can say that the shape of complete f igure af ter adding mirror image is a Square.
(3)
1
Step 1
A shape has Rotational Symmetry when it still looks the same af ter a rotation.
Step 2
If you look at the image caref ully, you will notice that the given image still looks the same in
1 rotations, the order of rotational symmetry in given image is 1.
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ID : ru-7-Symmetry [5]
(4) 1
Step 1
T he lines which divides any image into two pieces which are mirror images of each other, is
called lines of symmetry.
f or example the line in the f ollowing triangle is the line of symmetry.
Step 2
Now if you look at the given f igure caref ully, you will notice that the number of lines of
symmetry are 1.
(5)
2
Step 1
A shape has Rotational Symmetry when it still looks the same af ter a rotation.
Step 2
If you look at the image caref ully, you will notice that the given image still looks the same in
2 rotations, the order of rotational symmetry in given image is 2.
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ID : ru-7-Symmetry [6]
(6) T hree
Step 1
A shape has Rotational Symmetry when it still looks the same af ter a rotation.
Step 2
If you look at the image caref ully, you will notice that the given image still looks the same in
three rotations, the order of rotational symmetry in given image is T hree.
(7) a. 4
Step 1
T he lines which divides any image into two pieces which are mirror images of each other, is
called lines of symmetry.
Step 2
T he all possible lines of symmetry of the given f igure are shown below:
Step 3
Now you can say that the number of lines of symmetry in the given f igure are 4.
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ID : ru-7-Symmetry [7]
(8)
a. 7
Step 1
A shape has Rotational Symmetry when it still looks the same af ter a rotation.
Step 2
If you look at the image caref ully, you will notice that the given image still looks the same in
7 rotations, the order of rotational symmetry in given image is 7.
(9) b. V
Step 1
If you draw a vertical line down the middle of a letter, and the two sides are the mirror
images of each other, then we can say that the letter has a vertical line of symmetry.
Step 2
Now if you look at the all of the options caref ully, you will notice that if you draw a vertical
line down the middle of V, the two sides will be mirror images of each other and hence you
can say that V has a vertical line of symmetry.
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ID : ru-7-Symmetry [8]
(10) b. Four
Step 1
T he lines which divides any image into two pieces which are mirror images of each other, is
called lines of symmetry.
f or example the line in the f ollowing triangle is the line of symmetry.
Step 2
Now if you look at the given f igure caref ully, you will notice that the number of lines of
symmetry are Four.
(11) b. None
Step 1
T he lines which divides any image into two parts in such a way that they are exact mirror
images of each other, are called lines of symmetry.
Step 2
Following is an example of a scalene triangle, we can see that it is not possible to draw any
line which divides it symmetrically.
T heref ore, a scalene triangle has no line of symmetry.
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ID : ru-7-Symmetry [9]
(12)
2
Step 1
T he lines which divides any image into two pieces which are mirror images of each other, is
called lines of symmetry.
Step 2
T he all possible lines of symmetry of the given f igure are shown below:
Step 3
Now you can say that the number of lines of symmetry in the given f igure are 2.
(13)
8
Step 1
A shape has Rotational Symmetry when it still looks the same af ter a rotation.
Step 2
If you look at the image caref ully, you will notice that the given image still looks the same in
8 rotations, the order of rotational symmetry in given image is 8.
(14)
8
Step 1
A shape has Rotational Symmetry when it still looks the same af ter a rotation.
Step 2
If you look at the image caref ully, you will notice that the given image still looks the same in
8 rotations, the order of rotational symmetry in given image is 8.
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ID : ru-7-Symmetry [10]
(15)
3
6
Step 1
Symmetric letter are : I M T
Step 2
Asymmetric letter are : N S Z
Step 3
T otal symmetric and asymmetric letter are : 6
Step 4
Now the f raction of symmetric (either horizontal or vertical) letters on the cube =
3
6
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