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MATHS M.C.Q. [1 Marks Each]

Symmetry · UP Board (UPMSP) STD 7 (UPMSP - English Medium). 175 questions.

Questions · Page 3 of 4

M.C.Q. [1 Marks Each]

MCQ 1011 Mark
The digit having only one line of symmetry is -------
  • A
    $0$
  • ✓
    $3$
  • C
    $5$
  • D
    $9$
Answer
Correct option: B.
$3$
Symmetry is the property of shapes which when flipped looks identical to its original shape.
A line of symmetry is a line that divides the given shape into identical parts.
$0$ and $8$ have two lines of symmetry.
$3$ has one line of symmetry.
Remaining numbers do not have any lines of symmetry.
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MCQ 1021 Mark
The number of lines of symmetry of a square is:
  • A
    $2$
  • B
    $3$
  • ✓
    $4$
  • D
    Infinite.
Answer
Correct option: C.
$4$
The number of lines of symmetry of a square is $4$.

Hence, the correct answer is option $(c).$
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MCQ 1031 Mark
In which of the following alphabets, the number of lines of symmetry and the order of rotational symmetry is $2$?
  • ✓
    $H$
  • B
    $C$
  • C
    $S$
  • D
    $A$
Answer
Correct option: A.
$H$
The alphabet $H$ has order $2$ linear and rotational symmetry.
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MCQ 1041 Mark
Find co - ordinates of the point A $(4, 7)$ obtained by rotating it through $180°$ about origin.
  • A
    $A′(4,7)$
  • ✓
    $A′(-4,-7)$
  • C
    $A′(-4,7)$
  • D
    $A′(4,-7)$
Answer
Correct option: B.
$A′(-4,-7)$
Given co - ordinate of the point A $(4, 7)$ which lies on first quadrant.
Now either rotate it through $180°$ about origin or rotate the co - ordinate axis through $180^\circ .$
It will move from $1^{st}$ quadrant to $3^{rd}$quadrant,
hence now it will situated at $(-4, -7)$
i.e. on $3^{rd}$ quadrant)
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MCQ 1051 Mark
Which of the following letters have reflection line of symmetry about vertical mirror?
  • A
    $C$
  • ✓
    $V$
  • C
    $B$
  • D
    $Q$
Answer
Correct option: B.
$V$
$V$
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MCQ 1061 Mark
Which of the following letters have reflection line of symmetry about vertical mirror?
  • ✓
    $V$
  • B
    $C$
  • C
    $Q$
  • D
    $B$
Answer
Correct option: A.
$V$



The letter $V$ has reflection line of symmetry about vertical mirror as shown in the figure.
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MCQ 1071 Mark
State the number of lines of symmetry for a scalene triangle.
  • A
    $1$
  • B
    $2$
  • ✓
    $0$
  • D
    None of these
Answer
Correct option: C.
$0$
It is an irregular figure.
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MCQ 1081 Mark
A parallelogram has ______ lines of symmetry:
  • ✓
    $0$
  • B
    $1$
  • C
    $3$
  • D
    $2$
Answer
Correct option: A.
$0$
A parallelogram has no lines of symmetry because if we take one or more lines then we can
not get the mirror reflection.
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MCQ 1091 Mark
Which letter look the same after reflection when the mirror is placed vertically?
  • A
    $P$
  • B
    $S$
  • ✓
    $H$
  • D
    $Q$
Answer
Correct option: C.
$H$


The letter $H$ looks the same after reflection when the mirror is placed vertically as shown in the figure.
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MCQ 1101 Mark
Which of the following alphabet has many lines of symmetry?
  • A
    $A$
  • ✓
    $O$
  • C
    $Q$
  • D
    $B$
Answer
Correct option: B.
$O$
$O$ has infinite lines of symmetry.
Which of the following alphabet has many lines of symmetry?
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MCQ 1111 Mark
When a torch is pointed towards one of the vertical edges of a cube, we get a shadow of cube in the shape of:
  • A
    Square
  • ✓
    Rectangle but not a square
  • C
    Circle
  • D
    Triangle
Answer
Correct option: B.
Rectangle but not a square
When a torch is pointed towards one of the vertical edges of a cube, we get a shadow of cube in the shape of the rectangle but not a square.
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MCQ 1121 Mark
Letter $‘C’$ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
  • ✓
    A horizontal mirror
  • B
    A vertical mirror
  • C
    Both
  • D
    None of these
Answer
Correct option: A.
A horizontal mirror
A horizontal mirror
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MCQ 1131 Mark
An equilateral triangle whose each side is $4.5\ cm$. How many lines of symmetry does it has?
  • ✓
    $3$
  • B
    $2$
  • C
    $1$
  • D
    Infinite
Answer
Correct option: A.
$3$

There are $3$ Lines of symmetry in equilateral triangle.
Irrespective of Lenght of side of triangle.
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MCQ 1141 Mark
Find the order of rotational symmetry of rhombus.
  • A
    $4$
  • B
    $3$
  • ✓
    $2$
  • D
    $1$
Answer
Correct option: C.
$2$

If a rhombus is rotated by $180^\circ $ (half of $360^\circ $), then it exactly fits its own outline.
Therefore a rhombus has rotational symmetry of order $2$.

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MCQ 1151 Mark
Which of the followings has both horizontal as well as vertical line of symmetry?
  • A
    $A$
  • B
    $S$
  • ✓
    $H$
  • D
    $V$
Answer
Correct option: C.
$H$

The letter $H$ has both horizontal as well as vertical line of symmetry as shown in the figure.
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MCQ 1161 Mark
A rectangle $DEFG$ is plotted in $XY$ plane.The co - ordinates of $D, E, F$ and $G$ are $(2, 2), (9, 2), (9, 10)$ and $(2, 10).$ Find the new co - ordinates of $G$ when $DEFG$ is rotated $270^\circ $ around origin.
  • ✓
    $(-10, 2)$
  • B
    $(10, -2)$
  • C
    $(10, -1)$
  • D
    $(10, 2)$
Answer
Correct option: A.
$(-10, 2)$
Given - coordinates of rectangle $DEFG$ $D$ $(2, 2), E (9, 2), F (9, 10), G (2, 10)$ (rectangle lies in $1^{st}$ quadrant)
case 1: Now Rotate it anti - clock wise through $270^\circ $ about origin or Rotate the coordinate axis clock - wise through $270^\circ .$
After rotation coordinate axis clockwise through $270$ rectangle $DEF$ $GDEF$ $G$ will lie in $4^{th}$ quadrant,
hence coordinate of $G$ will become $(10, -2).$
case 2: Now Rotate it clock wise through $270°$ about origin or Rotate the coordinate axis anti - clockwise through $270°.$
After rotation coordinate axis anti - clockwise through $270°$ rectangle $DEFG$ will lie in $2^{nd}$ quadrant,
hence coordinate of $G$ will become $(-10, 2).$
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MCQ 1171 Mark
out of the given four options only one is correct . Write the correct answer.
The number of lines of symmetry in a scalene triangle is:
  • ✓
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $3$
Answer
Correct option: A.
$0$
A scalene triangle is a triangle in which its all three sides are of different length and all three angles have different measures.
so, there is no kind of symmetry in scalene triangle.
So, A scalene triangle has number of zero line of symmetry.
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MCQ 1181 Mark
A square has _____ line of symmetry.
  • A
    $2$
  • B
    $3$
  • ✓
    $4$
  • D
    $6$
Answer
Correct option: C.
$4$
A square has $4$ line of symmetry as shown in the figure:
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MCQ 1191 Mark
How many lines of symmetry are there for an isosceles triangle?
  • ✓
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $0$
Answer
Correct option: A.
$1$


it has only one line of symmetry that is vertical line of symmetry.
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MCQ 1201 Mark
The order of rotational symmetry of an equilateral triangle is/are:
  • A
    $1$
  • B
    $2$
  • ✓
    $3$
  • D
    $4$
Answer
Correct option: C.
$3$
Equilateral triangle objects have order $3$ rotational symmetry.
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MCQ 1211 Mark
The solid with one circular face, one curved surface and one vertex is known as:
  • ✓
    Cone
  • B
    Sphere
  • C
    Cylinder
  • D
    Prism
Answer
Correct option: A.
Cone
A cone has one circular face, one curved surface and one vertex as shown in the figure:

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MCQ 1221 Mark
A line $y = x$ is rotated through $60^\circ $. Find the new angle made by line with $X$ axis.
  • ✓
    $105^\circ $
  • B
    $135^\circ$
  • C
    $155^\circ$
  • D
    $120^\circ$
Answer
Correct option: A.
$105^\circ $
Given $y = x$ slope of line
$\text{m}=\tan\theta=\frac{\text{dy}}{\text{dx}}$
$\text{m}=\tan\theta=\frac{\text{d}(\text{x})}{\text{dx}}$
$\text{m}=\tan\theta=1$
hence $\theta=45^\circ$
Now rotate the line anti - clockwise through $60^\circ $
So angle makes by new line with positive $X$ - axis is $45^\circ + 60^\circ = 105^\circ .$
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MCQ 1231 Mark
What is the angle of rotation symmetry for a shape that has rotational symmetry of order $5$?
  • A
    $144^\circ$
  • B
    $36^\circ$
  • ✓
    $72^\circ$
  • D
    $75^\circ$
Answer
Correct option: C.
$72^\circ$
A pentagon has rotational symmetry of order $5$.
Each angle in pentagon is
$72^\circ.\Rightarrow\frac{360^\circ}{5}=72^\circ$
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MCQ 1241 Mark
A solid with no vertex is:
  • A
    Cone
  • ✓
    Cylinder
  • C
    Sphere
  • D
    Prism
Answer
Correct option: B.
Cylinder

In a cylinder, there are $2$ plane surfaces and $1$ curved surface.
There are $2$ edges and no vertices.

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MCQ 1251 Mark
The line of symmetry for a line segment is along its.
  • A
    Perpendicular
  • ✓
    Perpendicular bisector
  • C
    Vertex
  • D
    None of the above
Answer
Correct option: B.
Perpendicular bisector

Line of symmetry may also be defined as the line segment along which, when the image is folded one side over the other, the upper folded area fully covers the lower folded area.
Hence line of symmetry is always along the perpendicular bisector

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MCQ 1271 Mark
The number of lines of symmetry in a $45^\circ - 45^\circ - 90^\circ$ set square is:
  • A
    $0$
  • ✓
    $1$
  • C
    $2$
  • D
    $3$
Answer
Correct option: B.
$1$
This set square is a isosceles triangle which has one line symmetry.
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MCQ 1281 Mark
How many lines of symmetry are there in a regular hexagon?
  • A
    $2$
  • B
    $4$
  • ✓
    $6$
  • D
    $3$
Answer
Correct option: C.
$6$
$6$
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MCQ 1291 Mark
Triangle is a ____ line of symmetry.
  • A
    $2$
  • ✓
    $3$
  • C
    $4$
  • D
    $5$
Answer
Correct option: B.
$3$
Triangle is a $3$ line of symmetry as shown in the figure:
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MCQ 1301 Mark
An equilateral triangle is:
  • ✓
    Regular
  • B
    Irregular
  • C
    Either regular or irregular
  • D
    Neither regular nor irregular
Answer
Correct option: A.
Regular

An equilateral triangle is regular because each of its side has same length and each of its angle measures $60$ degrees.

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MCQ 1311 Mark
Tick $(\checkmark)$ the correct answer.
A scalene triangle has:
  • ✓
    No line of symmetry.
  • B
    One line of symmetry.
  • C
    Two lines of symmetry.
  • D
    Three lines of symmetry.
Answer
Correct option: A.
No line of symmetry.
No line of symmetry.
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MCQ 1321 Mark
A square has a rotational symmetry of order $.......$
  • A
    $2$
  • B
    $3$
  • ✓
    $4$
  • D
    $5$
Answer
Correct option: C.
$4$
A square has a rotational symmetry of order $4$.
This is because:
$1.$ The centre of rotation is the centre of the square.
$2.$ The angle of rotation is $90$ degree.
$3.$ The direction of rotation is clockwise.
$4.$ The order of rotational symmetry is $4$
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MCQ 1331 Mark
A regular hexagon has ____ lines of symmetry.
  • A
    $2$
  • B
    $4$
  • ✓
    $6$
  • D
    $8$
Answer
Correct option: C.
$6$
A regular hexagon has $6$ lines of symmetry as shown in the figure:

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MCQ 1341 Mark
A scalene triangle has:
  • ✓
    No line of symmetry
  • B
    One line of symmetry
  • C
    Two lines of symmetry
  • D
    Three lines of symmetry
Answer
Correct option: A.
No line of symmetry

A scalene triangle has three unequal sides and thus, has no line of symmetry

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MCQ 1351 Mark
Fill in the blanks.
Rotation turns an object about a $P$ point. The fixed point is the centre of $Q$ . The angle by which the object rotates is the $R$ .
Then, $P\ Q\ R$ is:
  • ✓
    Fixed rotation angle of rotation.
  • B
    Variable rotation central angle.
  • C
    Fixed angle of rotation rotation.
  • D
    Variable rotation angle of rotation.
Answer
Correct option: A.
Fixed rotation angle of rotation.
Rotation always take place along a fixed point and the fixed point which gives the rotation because we rotate any object about a fixed point.
And by how much the object is rotated about a fixed point gives angle of ration.
Hence, the answer is fixed rotation angle of rotation.
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MCQ 1361 Mark
Which of the followings has both horizontal as well as vertical line of symmetry?
  • A
    $A$
  • B
    $S$
  • ✓
    $H$
  • D
    $V$
Answer
Correct option: C.
$H$

The letter $H$ has both horizontal as well as vertical line of symmetry as shown in the figure.
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MCQ 1371 Mark
State the number of lines of symmetry a circle.
  • ✓
    Infinite
  • B
    $0$
  • C
    $4$
  • D
    None of these
Answer
Correct option: A.
Infinite
There are infinite number of lines about which the figure may be folded.
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MCQ 1381 Mark
How many lines of symmetry are there in an equilateral triangle?
  • A
    $1$
  • B
    $2$
  • ✓
    $3$
  • D
    $4$
Answer
Correct option: C.
$3$
$3$
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MCQ 1391 Mark
The number of lines of symmetry in a parallelogram are:
  • A
    One
  • ✓
    Zero
  • C
    Two
  • D
    Four
Answer
Correct option: B.
Zero

because, A general parallelogram has no lines of symmetry.
Some special ones (rhombus, rectangle, square) have lines of symmetry.
However, a parallelogram does have a crucial symmetry - the half - turn around the central point where they two diagonals intersect.

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MCQ 1401 Mark
Which of the following alphabets has line symmetry?
  • A
    $Z$
  • B
    $P$
  • C
    $Q$
  • ✓
    $A$
Answer
Correct option: D.
$A$

The alphabet $A$ has line symmetry as shown in the figure.
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MCQ 1411 Mark
Tick $(\checkmark)$ the correct answer.
$ABCD$ is a kite in which $AB = AD$ and $BC = DC$. The kite is symmetrical about:
  • ✓
    The diagonal $AC$
  • B
    The diagonal $BD$
  • C
    None of these
Answer
Correct option: A.
The diagonal $AC$

Since the part $ABC$ is symmetrical to the part $ADC, AC$ divides the figure into two equal parts.
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MCQ 1421 Mark
How many lines of symmetries are there in an isosceles triangle?
  • ✓
    $1$
  • B
    $2$
  • C
    $3$
  • D
    None of these
Answer
Correct option: A.
$1$
An isosceles triangle has one line of symmetry because if we take one line then we can get the mirror reflection as shown in the figure.

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MCQ 1431 Mark
Which of the followings has no line of symmetry?
  • ✓
    $S$
  • B
    $A$
  • C
    $U$
  • D
    $H$
Answer
Correct option: A.
$S$
The letter $S$ has no lines of symmetry because if we take one or more lines then we can not get the mirror reflection of this letter.
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MCQ 1441 Mark
How many lines of symmetries are there in an isosceles triangle?
  • ✓
    $1$
  • B
    $2$
  • C
    $3$
  • D
    None of these
Answer
Correct option: A.
$1$
An isosceles triangle has one line of symmetry because if we take one line then we can get the mirror reflection as shown in the figure.
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MCQ 1451 Mark
Tick $(\checkmark)$ the correct answer.
A rhombus is symmetrical about:
  • A
    The line joining the midpoints of its opposite sides.
  • ✓
    Each of its diagonals.
  • C
    Perpendicular bisector of each of its sides.
  • D
    None of these.
Answer
Correct option: B.
Each of its diagonals.
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MCQ 1461 Mark
The numberof lines of symmetry in a square is:
  • ✓
    $4$
  • B
    $3$
  • C
    $2$
  • D
    Infinite
Answer
Correct option: A.
$4$
A square is symmetric about each of the diagonals and the perpendicular bisectors of the opposite sides.
Hence, it has $4$ lines of symmetry.
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MCQ 1471 Mark
Tick $(\checkmark)$ the correct answer.
The letter $Z$ of the English alphabet has:
  • ✓
    No line of symmetry.
  • B
    One line of symmetry.
  • C
    Two lines of symmetry.
  • D
    None of these.
Answer
Correct option: A.
No line of symmetry.
No line of symmetry.
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MCQ 1481 Mark
A square has a rotational symmetry of order $.........$
  • A
    $2$
  • B
    $3$
  • ✓
    $4$
  • D
    $5$
Answer
Correct option: C.
$4$
A square has a rotational symmetry of order $4$.
This is because:
$1.$ The centre of rotation is the centre of the square.
$2.$ The angle of rotation is $90$ degree.
$3.$ the direction of rotation is clockwise.
$4.$ The order of rotational symmetry is $4$
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MCQ 1491 Mark
A solid with no vertex is:
  • A
    Cone
  • ✓
    Cylinder
  • C
    Sphere
  • D
    Prism
Answer
Correct option: B.
Cylinder

In a cylinder, there are $2$ plane surfaces and $1$ curved surface.
There are $2$ edges and no vertices.

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MCQ 1501 Mark
Which of the following alphabets has line symmetry?
  • A
    $Z$
  • B
    $P$
  • C
    $Q$
  • ✓
    $A$
Answer
Correct option: D.
$A$

The alphabet $A$ has line symmetry as shown in the figure.
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