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MATHS 1 Marks Question

Symmetry · UP Board (UPMSP) STD 6 (UPMSP - English Medium). 98 questions.

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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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