Write the letters of the word $MATHEMATICS$ which have no line of symmetry.
- ✓$S$
- B$M$
- C$E$
- D$Y$
Answer: A.
View full solution →Question types
Symmetry question types
270 questions across 8 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
270
Questions
8
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
175 Q→02Assertion (A) & Reason (B) MCQ
10 Q→03BLANKS [1 Marks Each]
21 Q→041 Marks Question
49 Q→052 Marks Questions
9 Q→065 Marks Questions
1 Q→07case /data -based (4 Marks)
3 Q→083 Marks Question
2 Q→Sample Questions
Symmetry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
State for $T$ true and $F$ for false.
$(i)$ Number $0$ has both rotational and line of Symmetry.
$(ii)$ A regular polygon of $n$ sides has $2n$ lines of symmetry.
$(iii)$ A square has four lines of symmetry and rotational symmetry of order $2.$
$(iv)$ A circle has finite number of lines of symmetry.
$(i)$ Number $0$ has both rotational and line of Symmetry.
$(ii)$ A regular polygon of $n$ sides has $2n$ lines of symmetry.
$(iii)$ A square has four lines of symmetry and rotational symmetry of order $2.$
$(iv)$ A circle has finite number of lines of symmetry.
- ✓$\text{T F F F}$
- B$\text{T F T F}$
- C$\text{F T F T}$
- D$\text{F T T T}$
Answer: A.
View full solution →State the number of lines of symmetry for a parallelogram.
- ✓$0$
- B$1$
- C$2$
- DNone of these
Answer: A.
View full solution →How many lines of symmetries are there in rectangle?
- ✓$2$
- B$1$
- C$0$
- DNone of these
Answer: A.
View full solution →Tick $(\checkmark)$ the correct answer.
square has:
square has:
- AOne line of symmetry.
- BTwo lines of symmetry.
- CThree lines of symmetry.
- ✓Four lines of symmetry.
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Square have line of symmetry
Reason: The line of symmetry is a line that divides an object into two identical pieces
Assertion: Square have line of symmetry
Reason: The line of symmetry is a line that divides an object into two identical pieces
- ✓Both assertion and reason are correct and reason is correct explanation for assertion.
- BBoth assertion and reason are correct but reason is correct explanation for assertion.
- CAssertion is correct but reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: This figure have no line of symmetry
Reason: The line of symmetry is a line that divides an object into two identical pieces
Assertion: This figure have no line of symmetry
Reason: The line of symmetry is a line that divides an object into two identical pieces
- ✓Both assertion and reason are correct and reason is correct explanation for assertion.
- BBoth assertion and reason are correct but reason is correct explanation for assertion.
- CAssertion is correct but reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The symmetry of an object is defined as one half of the object is a mirror image of the other half
Reason: $E$ has an horizontal line of symmetry
Assertion: The symmetry of an object is defined as one half of the object is a mirror image of the other half
Reason: $E$ has an horizontal line of symmetry
- ✓Both assertion and reason are correct and reason is correct explanation for assertion.
- BBoth assertion and reason are correct but reason is correct explanation for assertion.
- CAssertion is correct but reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The letter $O$ has many lines of symmetry
Reason: line passing through the centre of $O$, will be its line of symmetry
Assertion: The letter $O$ has many lines of symmetry
Reason: line passing through the centre of $O$, will be its line of symmetry
- ✓Both assertion and reason are correct and reason is correct explanation for assertion.
- BBoth assertion and reason are correct but reason is correct explanation for assertion.
- CAssertion is correct but reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The number of lines of symmetry of a regular polygon are identified by the number of angles the polygon contains Reason: The total number of lines of symmetry of a regular polygon of side $N$ is equal to Ne total number of lines of symmetry of a regular polygon of side $N$ is equal to $N$
Assertion: The number of lines of symmetry of a regular polygon are identified by the number of angles the polygon contains Reason: The total number of lines of symmetry of a regular polygon of side $N$ is equal to Ne total number of lines of symmetry of a regular polygon of side $N$ is equal to $N$
- ABoth assertion and reason are correct and reason is correct explanation for assertion.
- BBoth assertion and reason are correct but reason is correct explanation for assertion.
- CAssertion is correct but reason is false.
- ✓Both assertion and reason are false.
Answer: D.
View full solution →Fill in the blanks:
| Shape | Centre of Rotation | Order of Rotation | Angle of Rotation |
| Square | |||
| Rectangle | |||
| Rhombus | |||
| Equilateral Triangle | |||
| Regular Hexagon | |||
| Circle | |||
| Semi-circle |
Regular polygons have………….line/s of symmetry. (one, two, multiple)
A quarter-turn means rotation by………….. $\left(90^{\circ}, 180^{\circ}, 360^{\circ}\right)$
View full solution →A circle has rotational symmetry around the centre for every………… (radius, diameter, angle)
The…………..is the most perfect symmetric figure. (circle, square. rectangle)
Can we have a rotational symmetry of order more than $1$ whose angle of rotation is$17^\circ ?$
View full solution →Can we have a rotational symmetry of order more than $1$ whose angle of rotation is $45^\circ ?$
View full solution →If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than $1?$
View full solution →Draw, wherever possible, a rough sketch of a quadrilateral with a rotational symmetry of order more than $1$ but not a line symmetry.
View full solution →Name any two figures that have both line symmetry and rotational symmetry.
After rotating by $60^\circ$ about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
View full solution →Name the quadrilaterals which have both line and rotational symmetry of order more than $1.$
View full solution →Draw, wherever possible, a rough sketch of a quadrilateral with a quadrilateral with line symmetry but not a rotational symmetry of order more than $1.$
View full solution →Draw, wherever possible, a rough sketch of a triangle with only line symmetry and no rotational symmetry of order more than $1.$
View full solution →Draw, wherever possible, a rough sketch of a triangle with both line and rotational symmetries of order more than $1.$
View full solution →Which of the following figures have rotational symmetry of order more than $1:$
$a.$
$b.$
$c.$
$d.$
$e.$
$f.$
View full solution →$a.$
$b.$
$c.$
$d.$
$e.$
$f.$
Here is a picture of a car wheel.
1. Awhat is the order of rotational symmetry for this wheel?
1. Awhat is the order of rotational symmetry for this wheel?
A quadrilateral is drawn on a square grid. $O$ is the dot marked on one vertex of the quadrilateral.
$1.$ How many lines of symmetry are there in this quadrilateral$?$
$A. 0$
$B. 1$
$C. 2$
$D. 4$
$2. $ Draw three more congruent quadrilaterals around $O$ so that the complete figure has rotation
symmetry of order four.
$3.$ Which of the following statements about a parallelogram’s symmetry is true$?$
$A.$ A parallelogram has neither a line of symmetry nor rotational symmetry.
$B.$ A parallelogram has a line of symmetry but no rotational symmetry.
$C.$ A parallelogram has a point of symmetry and rotational symmetry.
$D.$ A parallelogram has rotational symmetry but no point or line symmetry.
$4.$ Jyoti claims that rotational symmetry of order $1$ implies no rotational symmetry. Do you agree or disagree with her claim$?$ Give reasons.
View full solution →$1.$ How many lines of symmetry are there in this quadrilateral$?$
$A. 0$
$B. 1$
$C. 2$
$D. 4$
$2. $ Draw three more congruent quadrilaterals around $O$ so that the complete figure has rotation
symmetry of order four.
$3.$ Which of the following statements about a parallelogram’s symmetry is true$?$
$A.$ A parallelogram has neither a line of symmetry nor rotational symmetry.
$B.$ A parallelogram has a line of symmetry but no rotational symmetry.
$C.$ A parallelogram has a point of symmetry and rotational symmetry.
$D.$ A parallelogram has rotational symmetry but no point or line symmetry.
$4.$ Jyoti claims that rotational symmetry of order $1$ implies no rotational symmetry. Do you agree or disagree with her claim$?$ Give reasons.
The picture shows a girl and her relection in a mirror.
$1.$ Can you draw a line of symmetry on this picture? Mention Yes or No. Justify your choice.
$2. $ The girl has her right hand raised. Why does it look like her left hand in the mirror image?
$3.$ Points $P, Q, R$ and $S$ are marked on the girl and their mirror relections $P’, Q’, R’$ and $S’$ are marked on the image. Which point and its image in the mirror have the greatest distance between them?
$A. P$ and $Q$
$B. Q$ and $Q’$
$C. R$ and $R’$
$D. P’$ and $S’$
$4.$ Which type of symmetry does the picture show$?$
$A.$ Line symmetry
$B.$ Point symmetry
$C.$ Rotation symmetry
$D.$ Relection symmetry
$5. $ In the above picture, $XYZW$ is a mirror. Why does it produce a symmetric image? Give your explanation using the points shown in the image.
View full solution →$1.$ Can you draw a line of symmetry on this picture? Mention Yes or No. Justify your choice.
$2. $ The girl has her right hand raised. Why does it look like her left hand in the mirror image?
$3.$ Points $P, Q, R$ and $S$ are marked on the girl and their mirror relections $P’, Q’, R’$ and $S’$ are marked on the image. Which point and its image in the mirror have the greatest distance between them?
$A. P$ and $Q$
$B. Q$ and $Q’$
$C. R$ and $R’$
$D. P’$ and $S’$
$4.$ Which type of symmetry does the picture show$?$
$A.$ Line symmetry
$B.$ Point symmetry
$C.$ Rotation symmetry
$D.$ Relection symmetry
$5. $ In the above picture, $XYZW$ is a mirror. Why does it produce a symmetric image? Give your explanation using the points shown in the image.
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?
The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry
Identify multiple lines of symmetry, if any, in each of the following figures:
$(a)$
$(b)$ 
$(c)$ 
$(d)$
$(e)$
$(f)$
$(g)$
$(h)$
View full solution →Identify multiple lines of symmetry, if any, in each of the following figures:
$(a)$
$(b)$ $(c)$ $(d)$$(e)$
$(f)$$(g)$ $(h)$Generate a Symmetry paper free
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