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MATHS 1 Marks Question

Symmetry · Rajasthan Board (RBSE) STD 6 (Rajasthan - English Medium). 98 questions.

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98 questions · 1 auto-graded MCQ + 97 self-marked written.

Question 11 Mark
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 $\text{O E M N P H L T S V X}$
Answer
The letters $\text{O, M, H, T, V}$ and $X$ look the same after reflections because these letters have $1$ vertical line of symmetry.
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Question 21 Mark
In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.

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Question 41 Mark
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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Question 51 Mark

Identify the shape given below. Check whether it is symmetric or not. Draw the line of symmetry as well.

Answer
The given figure is symmetric and the line of symmetry in the given figure is shown as follows:

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Question 61 Mark
Identify the shape given below. Check whether it is symmetric or not. Draw the line of symmetry as well.

Answer
The given figure is symmetric and the line of symmetry in the given figure is shown as follows:

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Question 71 Mark
Identify the shape given below. Check whether it is symmetric or not. Draw the line of symmetry as well.

Answer
The given figure is symmetric and the line of symmetry in the given figure is shown as follows:

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Question 81 Mark
Identify the shape given below. Check whether it is symmetric or not. Draw the line of symmetry as well.

Answer
The given figure is not symmetric. Hence there is no line of symmetry in it.
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Question 91 Mark

Identify the shape given below. Check whether it is symmetric or not. Draw the line of symmetry as well.

Answer
The given figure is symmetrical and the line of symmetry in the given figure is shown as follows:

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Question 101 Mark

Identify the shape given below. Check whether it is symmetric or not. Draw the line of symmetry as well.

Answer
The given figure is symmetrical and the line of symmetry in the given figure is shown as follows:

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Question 121 Mark
List any four symmetrical objects from your home or school.
Answer
The black board, the table top, a pair of scissors, the computer disc.
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Question 131 Mark
The number of lines of symmetry in a rectangle and a rhombus are ______ (equal/ unequal).
Answer
Both rectangle and rhombus have two lines of symmetry.
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Question 141 Mark
A protractor has __________ line/ lines of symmetry.
Answer
Since, a protractor has a shape of a semi-circle and a semi-circle has only one line of symmetry.
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Question 151 Mark
Which of the following statementare true and which are false? An angle with equal arms has its bisector as the line of symmetry.
Answer
True.
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Question 161 Mark
Which of the following statementare true and which are false? A parallelogram has no line of symmetry.
Answer
True.
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Question 171 Mark
Infinitely many perpendicular bisectors can be drawn to a given ray.
Answer
A ray has infinite length and hence, it can be considered that perpendicular line to the given ray divide the ray into two equal halves (parts).
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Question 181 Mark
A rhombus is symmetrical about _________.
Answer
 A rhombus has two lines of symmetry along its diagonals.
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Question 191 Mark
On a squared paper, sketch the following: A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.
Answer
A quadrilateral with both horizontal line of symmetry but no vertical line of symmetry may be drawn sa following.
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Question 201 Mark
The number of lines of symmetry in a rectangle and a square are ______ (equal/ unequal).
Answer
Since, rectangle has two lines of symmetry, whereas square has four lines of symmetry.
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Question 221 Mark
It is possible to draw two bisectors of a given angle.
Answer
We can draw only one bisector of a given angle.
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Question 231 Mark
A circle has only 16 lines of symmetry.
Answer
A circle has infinite number of lines of symmetry all along the diameters.
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Question 241 Mark
The number of lines of symmetry in a regular polygon of n sides is _______.
Answer
The number of lines of symmetry in a regular polygon of n sides is n. 
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Question 251 Mark
A $45^\circ- 45^\circ- 90^\circ$ set-square and a protractor have the same number of lines of symmetry.
Answer
Both have one line of symmetry.
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Question 261 Mark
A square and a rectangle have the same number of lines of symmetry.
Answer
We know that, rectangle has two lines of symmetry but square has four lines of symmetry.
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Question 271 Mark
A regular octagon has $10$ lines of symmetry.
Answer
Since, a regular polygon has as many lines of symmetry as the number of its sides. Therefore, a regular octagon has $8$ lines of symmetry.
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Question 281 Mark
In the figure, l is the line of symmetry. Complete the diagram to make it symmetric.
Answer
The diagram may be completed as following so as to make it aymmetric.
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Question 291 Mark
If an angle of measure $80^\circ $ is reflected in a line of symmetry, then the reflection is an ______ of measure _______.
Answer
The reflection is an angle of measure $80^\circ .$
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Question 301 Mark
State whether the following statement is true or false: A right-angled triangle can have at most two lines of symmetry.
Answer

If it is an isosceles right angle triangle, then it can have only one line of symmetry at the most. Otherwise, a right angle triangle has no line of symmetry.
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Question 311 Mark
Which of the following statementare true and which are false? An equilateral triangle has three lines of symmetry.
Answer
An equilateral triangle is symmetrical about each one of the bisectors of its interior angle. Also, it has three bisectors.
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Question 321 Mark
Can you draw a triangle having: Exactly one line of symmetry.
Answer
Exactly one line of symmetry: Yes; isosceles triangle
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Question 331 Mark
The line of symmetry of a line segment is the ________ bisector of the line segment.
Answer
Since, a perpendicular bisector divides a line segment into two equal and identical parts.
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Question 351 Mark
On a squared paper, sketch the following: A triangle with a horizontal line of symmetry but no vertical line of symmetry.
Answer
A triangle with only $1$ horizontal line of symmetry and no other vertical line of symmetry may be sketched as following.
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Question 361 Mark
Consider the letters of English alphabets, $A$ to $Z.$ List among them the letters which have.
$i.$ Vertical lines of symmetry $($like $A).$
$ii.$ Horizontal lines of symmetry $($like $B).$
$iii.$ No lines of symmetry $($like $Q).$
Answer
$i.\ \text{A, H, I, M, O, T, U, V, W, X, Y.}$
$ii.\ \text{B, C, D, E, H, I, K, O, X.}$
$iii.\ \text{F, G, J, L, N, P, Q, R, S, Z.}$
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Question 381 Mark
Can you draw a triangle having: Three line of symmetry.
Answer
Three line of symmetry: Yes; equilateral triangle
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Question 391 Mark
Two perpendiculars can be drawn to a given line from a point not lying on it.
Answer
We can draw only one perpendicular from a point, not lying on the line.
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Question 401 Mark
The digits having only two lines of symmetry are _________ and __________.
Answer
The digits having only two lines of symmetry are $0$ and $8.$
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Question 411 Mark
In Figure, if $B$ is the image of the point $A$ with respect to the line $l$ and $P$ is any point lying on $l,$ then the lengths of line segments $PA$ and $PB$ are _______.
Answer
In Figure, if $B$ is the image of the point $A$ with respect to the line $l$ and $P$ is any point lying on $l,$ then the lengths of line segments $PA$ and $PB$ are Equal.
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Question 421 Mark
The number of digits having no line of symmetry is _________.
Answer
Since, digit $1, 2, 4, 5, 6, 7$ and $9$ have no lines of symmetry.
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MCQ 431 Mark
A rhombus is symmetrical about:
  • ✓
    Each of its diagonals
  • B
    The line joining the mid-points of its opposite sides
  • C
    Perpendicular bisectors of each of its side
  • D
    None of these
Answer
Correct option: A.
Each of its diagonals
Each of its diagonals
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Question 441 Mark
The common properties in the two set-squares of a geometry box are that they have a __________ angle and they are of the shape of a __________.
Answer
The common properties in the two set-squares of a geometry box are that they have a Right angle and they are of the shape of a Triangle.
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Question 451 Mark
The digit having only one line of symmetry is __________.
Answer
The digit having only one line of symmetry is $3.$
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Question 461 Mark
The number of capital letters of the English alphabets having only horizontal line of symmetry is ________.
Answer
The number of capital letters of the English alphabets having only horizontal line of symmetry is $4.$
Solution:
Since, alphabets $B, C, D$ and $E$ have only horizontal line of symmetry.
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Question 471 Mark
On a squared paper, sketch the following:
A hexagon with exactly two lines of symmetry.
Answer
A haxagon with exactly two lines of symmetry may be sketched as following.

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Question 481 Mark
A $30^\circ- 60^\circ - 90^\circ$ set-square has ________ line/ lines of symmetry.
Answer
A $30^\circ - 60^\circ - 90^\circ$ set-square has No line line/ lines of symmetry.
Solution:
Since, a $30^\circ - 60^\circ - 90^\circ $ set square has a shape of scalene triangle and a scalene triangle have no line of symmetry because all its sides and angles are of different measures.
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Question 491 Mark
The number of capital letters of the English alphabets having only vertical line of symmetry is ________.
Answer
The number of capital letters of the English alphabets having only vertical line of symmetry is $7.$
Solution:
Since, alphabets$ A, M, T, U, V, W,$ and $Y$ have only vertical line of symmetry.
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Question 511 Mark
State whether the following statement is true or false:
A pentagon with one line of symmetry can be drawn.
Answer
True.

Solution:

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Question 521 Mark
Which of the following statementare true and which are false?
A square has four lines of symmetry.
Answer
A square is symmetrical about each one of its diagonal and the lines joining the midpoints of the opposite sides.
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Question 531 Mark
Using only the two set-squares of the geometry box, an angle of $15^\circ$ can be drawn.
Answer
An angle of $15^\circ $ can be drawn using only the two set squares.
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Question 541 Mark
For the given figure, which one is the mirror line, $l_1$ or $l_2$?
Answer
The line $l_1$ is the mirror line of this figure as when the given figure is golded about the line $l_2$ the left part can exactly cover right part and vice versa.
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Question 551 Mark
The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is ________.
Answer
The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is $4.$
Solution:
Since, alphabets $H, I O$ and $X$ have both horizontal and vertical lines of symmetry.
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Question 561 Mark
With a given centre and a given radius, only one circle can be drawn.
Answer
With a given radius and a centre, only one circle can be drawn.
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Question 571 Mark
The number of lines of symmetry in a regular hexagon is __________.
Answer
The number of lines of symmetry in a regular hexagon is $6.$
Solution:
Since, all sides of regular hexagon are equal and each of its angles measures $120^\circ .$ Therefore, it has six lines of symmetry, three along the lines joining the mid-points of opposite sides and three along the diagonals.
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Question 581 Mark
Which of the following statementare true and which are false? A rectangle has two lines of symmetry.
Answer
A rectangle is symmetrical about the lines joining the midpoints of the opposite sides.
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Question 591 Mark
Which of the following statementare true and which are false?
Each one of the letters $H, I, O, X$ of the English alphabet has two lines of symmetry.
Answer
True.
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Question 601 Mark
Which of the following statementare true and which are false? A rhombus has four lines of symmetry.
Answer
A rhombus has two lines of symmetry. It is symmetrical about each one of its diagonals.
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Question 611 Mark
Given here are figures of a few folded sheets and designs drawn about the fold. In each case, draw a rough diagram of the complete figure that would be seen when the design is cut off.
Answer
The complete figures will be as following.
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Question 621 Mark
Can you draw a triangle which has. No lines of symmetry? Sketch a rough figure in case.
Answer
Yes, we may make a scalene triangle which has no line of symmetry.
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Question 631 Mark
If an isosceles triangle has more than one line of symmetry, then it need not be an equilateral triangle.
Answer
Since, if an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.
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Question 641 Mark
Infinitely many perpendiculars can be drawn to a given ray.
Answer
Since, a ray has infinite length, therefore infinitely many perpendiculars can be drawn to it.
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Question 651 Mark
State whether the following statement is true or false:
An isosceles triangle with more than one line of symmetry must be an equilateral triangle.
Answer

If an isosceles triangle has no more than one line of symmetry, then it must be an equilateral triangle. This is because an equilateral triangle has three lines of symmetry, and a triangle other than that cannot have two lines of symmetry.
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Question 661 Mark
The number of capital letters of the English alphabets having no line of symmetry is __________.
Answer
The number of capital letters of the English alphabets having no line of symmetry is $10.$
Solution:
Alphabets $F, G, J, L, N, R, Q, R, S$ and $Z$ have no line of symmetry.
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Question 671 Mark
If an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.
Answer
 Because an equilateral triangle has three lines of symmetry.
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Question 681 Mark
The image of a point lying on a line l with respect to the line of symmetry $l$ lies on _______.
Answer
The image of a point lying on line $L$ with respect to the line of symmetry $L$ lies on line $L.$
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Question 691 Mark
Find the number of lines of symmety for the shapes.
Answer
There are 6 lines of symmetry for the given figure. Now we may observe the lines of symmetry in the above figures as.
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Question 711 Mark
If a line segment of length 5cm is reflected in a line of symmetry (mirror), then its reflection (image) is a ______ of length _______.
Answer
If a line segment of length $5\ cm$ is reflected in a line of symmetry (mirror), then its reflection (image) is a Line segment of length $5\ cm.$
Solution:
Because its reflection is a line segment of length $5\ cm.$
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Question 721 Mark
Find the number of lines of symmetry in the following shape. How will you check your answer?
Answer
We may observe that there is only $1$ line of symmetry.
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Question 731 Mark
The number of lines of symmetry in Figure is __________.
Answer
In the given figure of circle, we can draw $5$ lines of symmetry to bisect the figure in equal parts. Hence, the lines of symmetry of given circle is $5.$
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Question 741 Mark
Copy the triangle in of the following figures on squared paper. In 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
It is a right angled triangle. Here it will be only 1 line of symmetry.
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Question 751 Mark
Copy the following on a squared paper and compute then in such a way that the dotted line is the line of symmetry.

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Question 761 Mark
Identify the shapes given below. Check whether they are symmetric or not. Draw the line of symmetry as well.

Answer
Yes.

Line of aymmetry are shown in the following figures.

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Question 771 Mark
Can you draw a triangle which has. Exactly three lines of symmetry?
Answer
Yes, we may make an equilateral triangle which has 3 lines of symmetry.
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Question 791 Mark
A $45^\circ - 45^\circ - 90^\circ$ set-square has _______ line/ lines of symmetry.
Answer
A $45^\circ- 45^\circ- 90^\circ$ set-square has One line line/ lines of symmetry.
Solution: Since, a $45^\circ - 45^\circ - 90^\circ $ set square has a shape of isosceles triangle and an isosceles triangle has one line of symmetry.
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Question 801 Mark
A right triangle can have at most one line of symmetry.
Answer
A right-angled triangle can have one line of symmetry, if it is an isosceles triangle.
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Question 811 Mark
On a squared paper, sketch the following: A quadrilateral with both horizontal and vertical lines of symmetry.
Answer
A quadrilateral with both horizontal and vertical lines of symmetry may be drawn as following.
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Question 821 Mark
With ruler and compasses, we can bisect any given line segment.
Answer
We can bisect any given line segment, using ruler and compass.
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Question 831 Mark
The distance of the image of a point (or an object) from the line of symmetry (mirror) is ________ as that of the point (object) from the line (mirror).
Answer
The distance of the image of a point (or an object) from the line of symmetry (mirror) is Same as that of the point (object) from the line (mirror).
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Question 841 Mark
A rectangle is symmetrical about the lines joining the _________ of the opposite sides.
Answer
A rectangle is symmetrical about the lines joining the Mid-points of the opposite sides. 
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Question 851 Mark
On a squared paper, sketch the following: A hexagon with six lines of symmetry.
Answer
A haxagon with six lines of symmetry may be sketched as following.
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Question 861 Mark
Only one perpendicular bisector can be drawn to a given line segment.
Answer
A line segment has only one perpendicular bisector.
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Question 871 Mark
The number of lines of symmetry in a picture of Taj Mahal is _______.
Answer
The number of lines of symmetry in a picture of Taj Mahal is One.
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Question 881 Mark
Copy the following drawing on a paper and compute it in such a way that resulting figure has two dotted lines as two lines of symmetry:
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Question 891 Mark
If a rectangle has more than two lines of symmetry, then it must be a square.
Answer
Because a square has four lines of symmetry.
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Question 911 Mark
In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.
Answer
The required triangle may be formed as below.
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Question 921 Mark
Copy the following drawing on squared paper. Complete one of them such that the resulting figure has two dotted lines as two lines of symmetry.
Answer
We may complete these figures by drawing similar parts as shown in these figures, first about the vertical line of symmetry and then about the horizontal line of symmetry of first about the horizontal line of symmetry and then about the vertical line of symmetry. Now completed figures will be as following.
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Question 931 Mark
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 that the dotted line is the line of symmetry.
Answer
The given figures may be drawn as following so as to make the dotted line as line of symmetry.
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Question 941 Mark
Can you draw a triangle which has. Exactly one line of symmetry?
Answer
Yes, we may make an insosceles triangle which has $1$ line of symmetry.
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Question 951 Mark
Find the number of lines of symmety for the shape.
Answer
There are $4$ lines of symmetry for the given figure. Now we may observe the lines of symmetry in the above figures as.
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Question 961 Mark
Find the lines of symmetry for the following shape:

Answer
In given figure, there is no option to draw symmetric lines.
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Question 971 Mark
State whether the following statement is true or false: A pentagon with more than one line of symmetry must be regular.
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Question 981 Mark
Trace figure and draw the lines of symmetry, if any:
Answer
The given figure is having $4$ line of symmetry.
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