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38 questions · timed · auto-graded

Question 12 Marks
Find the number of lines of symmetry in the shape. How will you check your answer$?$
Answer
From the given figure, it can be clearly observed that, There are $2$ lines of symmetry in the given figure and it can be drawn as follows:
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Question 22 Marks
Find the number of lines of symmetry in the shape. How will you check your answer$?$
Answer
From the given figure, it can be clearly observed that, There is only $1$ line of symmetry in the given figure and it can be drawn as follows:
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Question 32 Marks
Find the number of lines of symmetry in the shape. How will you check your answer?
Answer
From the given figure, it can be clearly observed that, There are $2$ lines of symmetry in the given figure and it can be drawn as follows:
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Question 42 Marks
Find the number of lines of symmetry in the shape. How will you check your answer?
Answer
From the given figure, it ca be clearly observed that, There are $2$ lines of symmetry in the given figure and it can be drawn as follows:
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Question 52 Marks
Find the number of lines of symmetry in the shape. How will you check your answer?
Answer
From the above given figure, it can be clearly observed that there is only $1$ line of symmetry in the given figure and it can be drawn as follows:
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Question 62 Marks
Find the number of lines of symmetry in the shape. How will you check your answer$?$
Answer
From the given figure, it is can be clearly observed that there are $4$ lines of symmetry in the given figure and it can be drawn as follows:
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Question 72 Marks
On a squared paper, sketch the a hexagon with six lines of symmetry. (Hint : It will be helpful if you first draw the lines of symmetry and then complete the figure).
Answer
Here, we need to draw a hexagon which has all the six lines of symmetry
Now, in order to draw such hexagon
At first, we will draw those six lines of symmetry
And, then we will complete the hexagon
Hence, For the given case,
The hexagon can be drawn as:

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Question 82 Marks
On a squared paper, sketch the a quadrilateral with a hexagon with exactly two lines of symmetry. (Hint : It will be helpful if you first draw the lines of symmetry and then complete the figures.)
Answer
Here, we have to draw a hexagon which has exactly two lines of symmetry that is:
The horizontal line of symmetry and the vertical line of symmetry.
Hence, For the given case, the hexagon can be drawn as follows:

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Question 92 Marks
On a squared paper, sketch the a quadrilateral with a horizontal line of symmetry but no vertical line of symmetry. (Hint : It will be helpful if you first draw the lines of symmetry and then complete the figures.)
Answer
Here, We have to draw a quadrilateral which has only one line of symmetry that is:
The horizontal line of symmetry, And, no vertical line of symmetry.
Hence, For the given case.
The quadrilateral can be drawn as follows:

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Question 102 Marks
On a squared paper, sketch the a quadrilateral with both horizontal and vertical lines of symmetry. (Hint : It will be helpful if you first draw the lines of symmetry and then complete the figures.)
Answer
We have to draw a quadrilateral which has both the horizontal line of symmetry and, the vertical line of symmetry.
Hence, For the given case, the quadrilateral can be drawn as follows:

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Question 112 Marks
On a squared paper, sketch the triangle with a horizontal line of symmetry but no vertical line of symmetry. (Hint : It will be helpful if you first draw the lines of symmetry and then complete the figures.)
Answer
Here, We have to draw a triangle which has only one line of symmetry that is horizontal line of symmetry
And, No vertical line of symmetry. Hence, for the given case, the triangle can be drawn as follows:

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Question 122 Marks
Can you draw a triangle which has, no lines of symmetry? Sketch a rough figure in case.
Answer
Here, we need to draw a triangle which has no line of symmetry.
Hence,
For the given case,
We will draw a scalene triangle.
Therefore, The triangle can be drawn as follows:

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Question 132 Marks
Can you draw a triangle which has, exactly three lines of symmetry? Sketch a rough figure in case.
Answer

Here, we have to draw a triangle which has only three lines of symmetry.
Hence, for the given case, we will draw an equilateral triangle. Therefore, the triangle can be drawn as follows:

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Question 142 Marks
Can you draw a triangle which has, exactly two lines of symmetry? Sketch a rough figure in case.
Answer
We have to draw a triangle which has only two lines of symmetry.
But we know that there exists no triangle with only two symmetry lines.
Hence, for the given case, no such triangle is possible in practical.
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Question 152 Marks
Can you draw a triangle which has, exactly one line of symmetry? Sketch a rough figure in case.
Answer
Here, We have to draw a triangle which has only one line of symmetry.
Hence, for the given case, we will draw an iscoceles triangle.
Therefore, the triangle can be drawn as follows:

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Question 162 Marks
Copy the triangle in each of the following figures, on squared paper. In each case draw the line (s) of symmetry if any and identify the type of triangle. (Some of you may like to trace the figures and try paper-folding first!).
Answer


All the triangles have $1$ line of symmetry each.
Therefore, all triangles are Isosceles.
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Question 172 Marks
Find the number of lines of symmetry of shape:
Answer

 The given figure has $5$ lines of symmetry as shown in the figure.
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Question 182 Marks
Find the number of lines of symmetry of shape:

Answer

The given figure is asymmetrical. Thus there are no lines of symmetry.
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Question 192 Marks
Find the number of lines of symmetry of shape:

Answer

The given figure is asymmetrical. Thus there are no lines of symmetry.
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Question 202 Marks
Find the number of lines of symmetry of shape:
Answer


The given figure has $6$ lines of symmetry as can be seen in the figure.
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Question 212 Marks
Find the number of lines of symmetry of shape:
Answer
 
The given figure has $6$ lines of symmetry as shown in the figure.
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Question 222 Marks
Find the number of lines of symmetry of shape:
Answer


The given figure has $1$ line of symmetry as shown in the figure.
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Question 232 Marks
Find the number of lines of symmetry of shape:
Answer


The given figure has $4$ lines of symmetry as shown in the figure.
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Question 242 Marks
Find the number of lines of symmetry of shape:
Answer


The given figure has $4$ lines of symmetry as shown in the figure.
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Question 252 Marks
Find the number of lines of symmetry of shape:
Answer


The given figure has $4$ lines of symmetry, as shown in the figure.
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Question 262 Marks
Draw neat diagrams showing the line (or lines) of symmetry and give the specific name to the quadrilateral having: More than two lines of symmetry.
Answer
More than two lines of symmetry:
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Question 272 Marks
In Figure, $PQRS$ is a rectangle. State the lines of symmetry of the rectangle.
Answer
As we know that, a rectangle has two lines of symmetry along the line segments joining the mid-points of the opposite sides.
So, in the given rectangle, lines $AC$ and $BD$ are the lines of symmetry.
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Question 282 Marks
Draw the images of points $A$ and $B$ in line l of Figure and name them as $A'$ and $B'$ respectively. Measure $AB$ and $A' B'$. Are they equal?
Answer
Image of line segment $AB$ is $A' B’$ as shown below in figure.

Now, it is clear that the length of line segment $AB$ is equal to length of a line segment $A' B’.$
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Question 292 Marks
Draw neat diagrams showing the line (or lines) of symmetry and give the specific name to the quadrilateral having:
Only one line of symmetry. How many such quadrilaterals are there?
Answer
Only one line of symmetry:

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Question 302 Marks
Consider the English alphabets $A$ to $Z.$ List among them the letters which have: Vertical line of symmetry.
Answer
Vertical line of symmetry:
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Question 312 Marks
Is there any line of symmetry in the Figure? If yes, draw all the lines of symmetry.

Answer
Yes, there is one line of symmetry.

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Question 322 Marks
Draw the images $P', Q'$ and $R'$ of the points $P, Q$ and $R,$ respectively in the line $n$ figure. Join $P' Q'$ and $Q' R'$ to form an angle $P' Q' R'.$ Measure $\angle\text{PQR}$ and $\angle\text{P}'\text{Q}'\text{R}'.$ Are the two angles equal$?$
Answer
The images of the points $P, Q$ and $R$ in the line n are $P’, Q’$ and $R’$ respectively.

It is clear that, $\angle\text{PQR}=\angle\text{P}’\text{Q}’\text{R}’.$
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Question 332 Marks
Write the specific names of all the three quadrilaterals which have only one line of symmetry:
Answer
Solution is as follows:
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Question 342 Marks
Consider the English alphabets $A$ to $Z.$ List among them the letters which have: Horizontal line of symmetry.
Answer
Horizontal line of symmetry:
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Question 352 Marks
On squared paper copy the triangle in the following figure. Draw the line(s) of symmetry if any and identify the type of the triangle.

Answer

This is an equilateral triangle because it has only three line of symmetry.

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Question 362 Marks
Consider the English alphabets $A$ to $Z.$ List among them the letters which have:
Vertical and horizontal line of symmetry.
Answer
Vertical and horizontal line of symmetry:
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Question 372 Marks
Draw neat diagrams showing the line (or lines) of symmetry and give the specific name to the quadrilateral having: Two lines of symmetry other than diagonals.
Answer
Two lines of symmetry other than diagonals:
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Question 382 Marks
Consider the English alphabets $A$ to $Z.$ List among them the letters which have: No line of symmetry.
Answer
No line of symmetry:
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