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CBSE Questions for Class 6 Maths Symmetry Quiz 2 - MCQExams.com
CBSE
Class 6 Maths
Symmetry
Quiz 2
How many lines of symmetry are in this isosceles triangle?
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1
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4
Explanation
An isosceles triangle has one line of symmetry. However, if the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry.
But the given triangle is not an equilateral triangle.
An isosceles triangle is defined as a triangle with two sides of equal length. An equilateral triangle is defined as a triangle with three sides of equal length. Therefore, an equilateral triangle is also an isosceles triangle.
This triangle has 2 sides of equal length. When an isosceles triangle has exactly two sides of equal length, then it has just 1 line of symmetry that runs from the vertex between the two sides of equal length to the midpoint of the side opposite that vertex.
So option A is the correct answer.
How many lines of symmetry does a rhombus have?
(In this case we mean a rhombus that is not a square)
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1
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4
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None
Explanation
$$\Rightarrow$$ A rhombus has $$2$$ lines of symmetry which cuts it into two identical parts.
$$\Rightarrow$$ Both the lines of symmetry in a rhombus are from its diagonals.
$$\Rightarrow$$ So, it can be said the rhombus lines of symmetry are its both diagonals.
$$\therefore$$ Rhombus have $$2$$ lines of symmetry.
Which shapes have at least $$2$$ lines of symmetry?
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Shapes $$P, Q, S$$
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Shapes $$P, S$$
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Shapes $$Q, R, S$$
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Shapes $$P, Q, R, S$$
Explanation
Figure $$Q$$ is a square which has $$4$$ line symmetry.
Figure $$R$$ is a circle which has infinite line of symmetry.
Figure $$S$$ is a hexagon which has $$6$$ line symmetry.
Hence option $$C$$ is answer.
How many lines of symmetry of the does the rectangle have
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0
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2
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4
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6
Explanation
$$\Rightarrow$$ There are $$2$$ symmetry lines of a rectangle which are from its length and breadth.
$$\Rightarrow$$
These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.
$$\therefore$$ Rectangle has $$2$$ lines of symmetry.
If this hexagon is rotated $$90^o$$ clockwise about point $$A$$, how many lines of symmetry will there be in the diagram formed by the hexagon and its image?
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4
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1
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2
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0
Explanation
If you can effect a figure over a line and the figure appears unchanged ,then the figure has reflection symmetry or line symmetry . the line that you reflect over is called line of symmetry . Aline of symmetry divides figure into two mirror image .
If this hexagon is rotated 90 clockwise about point A .
Then 4 line of symmetry will be there
Complete the figure by comparing its mirror image.
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Explanation
by line of symmetry
the complete figure is
option C is correct
How many lines of symmetry does this star have?
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2
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5
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4
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3
Explanation
A line
of symmetry
is a line
that divides a figure into two corresponding parts, each of which is the mirror image of the other.
In the given figure, vertical and horizontal line which meet at the center of the figure are line of symmetry.
Also the lines which make the angle $$45^o$$ with vertical or horizontal lines are also line of symmetry for this figure.
Hence the given Star have $$4$$ line of symmetry.
Based on the given half image, which of the following option represents complete image?
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Explanation
Option $$D$$ forms a symmetrical image of the given image in the question.
$$\therefore$$ Correct answer is option $$D$$.
The line of symmetry for a line segment is along its
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perpendicular
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perpendicular bisector
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vertex
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none of the above
Explanation
Line of symmetry
may also be defined as the
line segment along
which, when the image is folded one side over the other, the upper folded area fully covers the lower folded area.
Hence line of symmetry is always along the perpendicular bisector
Which of the following letters does not have any line of symmetry?
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M
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S
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K
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H
Explanation
Option B is right
From the above figure, it is clear that letters S does not have any line of symmetry.
The letter F has
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one horizontal line of symmetry
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one vertical line of symmetry
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two lines of symmetry
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no line of symmetry
Complete the given figure by comparing its mirror image.
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Explanation
by line of symmetry
the complete figure is
option B is correct
Tthe rope has to cut in two halves . mark the line of symmetry for the rope.
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Explanation
When a rope is cut into two halves it should be cut to mid point of rope produces this symmetry.
The line of symmetry is always perpendicular to line.
Identify the line of symmetry of the following line segment (horizontal).
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Explanation
Option A has the perpendicular bisector, therefore, there is line of symmetry.
How many lines of symmetry does above regular pentagon have?
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$$10$$
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$$6$$
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$$5$$
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$$1$$
Explanation
lines of symmetry does a regular pentagon has 5 line of symmetry as shown in figure
Which of the following shapes has more than $$1$$ line of symmetry?
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Which of the following figures has a line of symmetry?
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None of these
Explanation
Line of symmetry divides the figure into two equal mirror halves
Hence none of the figure in option $$A$$, $$B$$ and $$C$$ are having the line of symmetry which will divide figure into two equal mirror halves.
Hence the correct answer is option D.
Select the CORRECT match.
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P
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Q
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R
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S
Explanation
Hence, D is the correct answer.
How many of the following alphabets has atleast one line of symmetry?
ACDFGHIL
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$$4$$
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$$5$$
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$$3$$
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$$6$$
Explanation
Alphabets having atleast one line of symmetry are A, C, D, H, I i.e., $$5$$ in number.
What is the smallest number of squares that must be added so that the line PQ becomes a line of symmetry?
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$$5$$
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$$3$$
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$$4$$
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$$8$$
Explanation
.
Line of symmetry is defined as it divides the figure into two equal mirror halves.
From the above figure we can say that $$4$$ number of squares must be added so that the line PQ becomes a line of symmetry.
Hence the correct answer is option C.
Which of the following figures has a line of symmetry?
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Explanation
The line of symmetry divides a figure into two equal mirror halves.
Only option D satisfies this condition. Hence option D is the correct answer.
How many of the following letters have atleast one vertical line of symmetry?
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$$5$$
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$$4$$
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$$3$$
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$$2$$
Explanation
Line of symmetry is defined as the line which divides the figure into two equal mirror halves.
So from the figure we can conclude that letters I,A and O are having one vertical line of symmetry
Hence the correct answer is option C.
How many of the following figures have no line of symmetry?
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$$2$$
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$$3$$
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$$4$$
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$$5$$
Explanation
Out of the given figures, figure no. $$1$$ and $$4$$ from left have $$2$$ and $$1$$ line of symmetry respectively. Other figures do not have any line of symmetry.
So, 3 figures have no line of symmetry.
Hence the correct answer is option (B).
Which of the following figures has more than one line of symmetry?
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Explanation
Except Fig.(D), rest all other figures have only one line of symmetry.
Which of the following shows a symmetric figure?
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Explanation
In fig.(B) diagonal itself is the line of symmetry. Other given figures do not have any line of symmetry.
Hence fig.(B) shows a symmetric figure.
A scalene triangle has
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no line of symmetry
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one line of symmetry
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two lines of symmetry
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three lines of symmetry
Explanation
A scalene triangle has three unequal sides and thus, has no line of symmetry.
Hence, option A is correct.
Identify lines of symmetry for the given numbers
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i) 1
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i) 0
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ii)
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ii) 0
Explanation
For 1) there is only one line of symmetry
2) no lines of symmetry
Which of the following letters have both horizontal and vertical lines of symmetry
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X
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E
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M
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K
Explanation
The correct answer is option $$[A]$$
From the above figure it is clear that letters X have both horizontal and vertical lines of symmetry.
Which of the following letters does not have any line of symmetry
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B
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T
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Z
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Y
Explanation
A
line of symmetry
is a line that cuts a shape exactly in half.
The letter Z has no lines of symmetry.
Which of the following letters does not have the vertical line of symmetry
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A
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H
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M
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E
Explanation
The letter E has horizontal line of symmetry,
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