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

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

Questions · Page 4 of 4

M.C.Q. [1 Marks Each]

MCQ 1511 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 $F$ when $DEFG$ is rotated $270^\circ $ around origin.
  • ✓
    $(-10, 9)$
  • B
    $(-10, -9)$
  • C
    $(10, 9)$
  • D
    $(10, -9)$
Answer
Correct option: A.
$(-10, 9)$
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 $270°$ about origin or Rotate the coordinate axis clock - wise through $270º.$
After rotation coordinate axis clockwise through $270°$ rectangle $DEFG$ will lie in $4^{th}$ quadrant,
hence coordinate of $F$ will become $(10, -9).$
case 2: Now Rotate it clock wise through $270°$ about origin or Rotate the coordinate axis anti - clockwise through $270^\circ .$
After rotation coordinate axis anti - clockwise through $270^\circ $ rectangle $DEFG$ will lie in $2^{nd}$ quadrant,
hence coordinate of $F$ will become $(-10 ,9)$
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MCQ 1521 Mark
How many lines of symmetry does a rhombus have?
(In this case we mean a rhombus that is not a square)
  • A
    $1$
  • ✓
    $2$
  • C
    $4$
  • D
    None
Answer
Correct option: B.
$2$
$2$
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MCQ 1531 Mark
Total number of edges in a cylinder is:
  • A
    $0$
  • B
    $1$
  • ✓
    $2$
  • D
    $3$
Answer
Correct option: C.
$2$
A cylinder has only $2$ edges as shown in the figure:
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MCQ 1541 Mark
The order of the rotational symmetry of the parallelogram about the centre is:
  • A
    $0$
  • B
    $1$
  • C
    $3$
  • ✓
    $2$
Answer
Correct option: D.
$2$
The order of the rotational symmetry of the parallelogram about the center is $2$.
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MCQ 1551 Mark
A rectangle has ______.
  • ✓
    Two lines of symmetry
  • B
    Four lines of symmetry
  • C
    Three lines of symmetry
  • D
    None of these
Answer
Correct option: A.
Two lines of symmetry
a rectangle has two lines of symmetry.
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MCQ 1561 Mark
Which of the following has only $2$ lines of symmetry?
  • A
    Equilateral triangle.
  • ✓
    Rhombus.
  • C
    Circle.
  • D
    None of these.
Answer
Correct option: B.
Rhombus.

The rhombus has only $2$ lines of symmetry.

Hence, the correct answer is option $(b)$.

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MCQ 1571 Mark
John notices that a standard piece of paper is a rectangle, how many lines of symmetry does it have?
  • A
    $1$
  • ✓
    $2$
  • C
    $3$
  • D
    $4$
Answer
Correct option: B.
$2$
A line of symmetry is a line that divides a figure into two corresponding parts, each of which is the mirror image of the other.
In case of rectangle, vertical and horizontal line which meet at the center of the rectangle are line of symmetry.
hence vertical and horizontal line which passes through the center of the rectangle are $2$ line of symmetry of any rectangle.
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MCQ 1581 Mark
How many lines of symmetries are there in an equilateral triangle?
  • A
    $2$
  • ✓
    $3$
  • C
    $0$
  • D
    $1$
Answer
Correct option: B.
$3$
$3$
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MCQ 1591 Mark
A triangular prism has ___ faces.
  • A
    $1$
  • B
    $2$
  • C
    $4$
  • ✓
    $5$
Answer
Correct option: D.
$5$
In a triangular prism, there are the three faces that are rectangular and $2$ triangular
faces one below and one above.
Hence there are $5$ faces in all.
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MCQ 1601 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 1611 Mark
The number of lines of symmetry for a line segment.
  • A
    Is infinite
  • ✓
    One
  • C
    Two
  • D
    None
Answer
Correct option: B.
One

If $AB$ is a line segment, then a line $l$, which is perpendicular bisector of $AB$, is the line of symmetry.

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MCQ 1621 Mark
Tick $(\checkmark)$ the correct answer.
A rectangle is symmetrical about:
  • A
    Each one of its sides.
  • B
    Each one of its diagonals.
  • ✓
    A line joining the midpoints of its opposite sides.
  • D
    None of these.
Answer
Correct option: C.
A line joining the midpoints of its opposite sides.
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MCQ 1631 Mark
Which of the following is point symmetric?
  • A
    Equilateral triangle.
  • B
    Trapezium.
  • ✓
    Rectangle.
  • D
    None of these.
Answer
Correct option: C.
Rectangle.
A point of symmetry is a point that represents a "center" of sorts for the figure.
Hence, the correct answer is option $(c)$.
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MCQ 1641 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 1651 Mark
State the number of lines of symmetry for a quadrilateral.
  • A
    $1$
  • ✓
    $0$
  • C
    $2$
  • D
    None of these
Answer
Correct option: B.
$0$
There is no line about which the figure may be folded.
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MCQ 1661 Mark
The angle of rotation of an isosceles triangle is:
  • A
    $120^\circ $
  • B
    $270^\circ$
  • ✓
    $180^\circ$
  • D
    $360^\circ$
Answer
Correct option: C.
$180^\circ$
$180^\circ $
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MCQ 1671 Mark
The number of lines of symmetry of an isosceles triangle is:
  • A
    $0$
  • ✓
    $1$
  • C
    $2$
  • D
    $3$
Answer
Correct option: B.
$1$
The number of line of symmetry of an isosceles triangle is $1$.

Hence, the correct answer is option $(b)$.
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MCQ 1681 Mark
He letter of English alphabets which have more than $2$ lines of symmetry is:
  • A
    $Z$
  • ✓
    $O$
  • C
    $E$
  • D
    $H$
Answer
Correct option: B.
$O$
The letter $Z$ has no line of symmetry.
The letter $E$ has one line of symmetry.
The letter $H$ has two lines of symmetry.
The letter $O$ has more than two lines of symmetry.
This is because infinite number of lines passes through the point symmetry about the centre $O$ with all possible diameters.
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MCQ 1691 Mark
If the local time at Varanasi, located at $83^\circ E$ longitude is $23 : 00$ hour then what will be the local time at Kibithu located at $97^\circ E$ longitude (Arunachal Pradesh) and Jodhpur, located at $73^\circ E$ longitude?
  • A
    $00:00$ hour, $22:00$ hour
  • B
    $22:00$ hour, $23:56$ hour
  • ✓
    $23:56$ hour, $22:20$ hour
  • D
    $22:56$ hour, $23:20$ hour
Answer
Correct option: C.
$23:56$ hour, $22:20$ hour
The difference between longitudes of Kibithu and Varanasi is $14$ degrees and Varanasi and Jodhpur is $10$ degrees.
so the time difference will be $+56$ mins and $-40$ mins respectively.
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MCQ 1701 Mark
Which of the following has only one line of symmetry?
  • A
    A rectangle
  • B
    A square
  • ✓
    A semi circle
  • D
    An equilateral triangle
Answer
Correct option: C.
A semi circle
A semi circle
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MCQ 1711 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 $5$.
Let $\theta $ be the measure of each angle in pentagon.
$\Rightarrow\theta=\frac{360^\circ}{5}$
$=72^\circ$

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MCQ 1721 Mark
All faces of pyramid are always.
  • A
    Triangular
  • B
    Rectangular
  • C
    Congruent
  • ✓
    None of these
Answer
Correct option: D.
None of these

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
Each base edge and apex form a triangle called a lateral face.
It is a conic solid with the polygonal base.
A pyramid with an $n$ - sided base has $n + 1$ vertices, $n + 1$ faces, and $2n$ edges.
All pyramids are self - dual.

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MCQ 1731 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 1741 Mark
How many lines of symmetries are there in regular pentagon?
  • A
    $2$
  • B
    $3$
  • ✓
    $5$
  • D
    $4$
Answer
Correct option: C.
$5$
$5$
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M.C.Q. [1 Marks Each] - Page 4 - MATHS STD 7 Questions - Vidyadip