Question types

Symmetry question types

386 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

386
Questions
8
Question groups
5
Question types
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.

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 (A):
Reason (R): The symmetry of an object is defined as one half of the object is a mirror image of the other half
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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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 (A): $D$ has horizontal line of symmetry
Reason (R): The symmetry of an object is defined as one half of the object is a mirror image of the other half
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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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 (A): $C$ has horizontal line of symmetry
Reason (R): The symmetry of an object is defined as one half of the object is a mirror image of the other half
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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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 (A):

Reason (R): The symmetry of an object is defined as one half of the object is a mirror image of the other half
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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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 (A): $X$ has vertical line of symmetry
Reason (R): The symmetry of an object is defined as one half of the object is a mirror image of the other half
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true

Answer: A.

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In each figure alongside, a letter of the alphabet is shown along with a vertical line. Take the mirror image of the letter in the given line. Find which letters look the same after reflection (i.e., which letters look the same in the image), and which do not. Can you guess why?

Try for $\text{O E M N P H L T S V X}$
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Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such the dotted line is the line of symmetry.

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Complete the following table.
Shape Rough figure Number of lines of symmetry
Equilateral Triangle  
Square    
Rectangle    
Isosceles Triangle    
Rhombus    
Circle    
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Draw an angle $ABC$ of measure $45^\circ$, using ruler and compasses. Now draw an angle $DBA$ of measure $30^\circ$, using ruler and compasses as shown in Figure. What is the measure of $\angle\text{DBC}?$
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In Figure, the point $C$ is the image of point $A$ in line l and line segment $BC$ intersects the line $l$ at $P.$
$a.\ $Is the image of $P$ in line $l$ the point $P$ itself $?$
$b.\ $Is $PA = PC?$
$c.\ $Is $PA + PB = PC + PB?$
$d.\ $Is $P$ that point on line l from which the sum of the distances of points $A$ and $B$ is minimum$?$
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