Questions · Page 2 of 4

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Question 521 Mark
The order of rotational symmetry of a figure is $4$ and the angle of rotation is $180^\circ $ only.
Answer
If the order of rotational symmetry of a figure is $4,$ then the angle of rotation must be $90^\circ .$
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Question 531 Mark
A __________ triangle has no lines of symmetry.
Answer
A scalene triangle has no lines of symmetry.Solution:
Since, all the angles and sides are unequal in scalene triangle.
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Question 541 Mark
In oblique sketch of the solid, the measurements are kept proportional.
Answer
False.Solution:
In oblique sketch of the solid, the measurements are not kept proportional.
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Question 551 Mark
Draw the net of rectangular pyramid with slant edge $6\ cm$ and base as rectangle with length $4\ cm$ and breadth $3\ cm.$
Answer
The required net is as follows:

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Question 561 Mark
A plane surface of a solid enclosed by edges is called __________ .
Answer
A plane surface of a solid enclosed by edges is called face.Solution:
A plane surface of a solid enclosed by edges is called face.
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Question 571 Mark
The corners of solid shapes are called its __________.
Answer
The corners of solid shapes are called its vertices.Solution:

The corners of solid shapes are called its vertices.
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Question 611 Mark
The distance between the two parallel lines is the same everywhere.
Answer
True.Solution:
Since, the distance between the two parallel lines is always same everywhere.
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Question 621 Mark
While sphere is a $2-D$ figure, circle is a $3-D$ figure.
Answer
The main difference between $2D$ shapes including rectangles, squares, circle and triangles.
$3D$ shapes including cubes, cuboids, etc as shown below:
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Question 631 Mark
A regular hexagon has six lines of symmetry.
Answer
True.Solution:
Since, a regular polygon has many lines of symmetry as the number of its sides.
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Question 641 Mark
If the base of a pyramid is a square, it is called a square pyramid.
Answer
True.

Solution:

The name of a pyramid is based on the base of pyramid.

So, if the base of a pyramid is a square, then it is called a square pyramid.

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Question 651 Mark
Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _________.
Answer
The number of cubes that are not visible are $20.$
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Question 671 Mark
Tell whether each figure has rotational symmetry or not.
$a.$

$​​​​​​​b.$

$​​​​​​​c.$

$​​​​​​​d.$

$​​​​​​​e.$

$f.$​​​​​​​
Answer
Figures which have rotational symmetry are as follows:
$a.$

$​​​​​​​c.$

$d.$

$​​​​​​​e.$

$​​​​​​​f.$

Figure $b$ has no rotational symmetry.
$​​​​​​​b.$​​​​​​​
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Question 681 Mark
Which of the following figure do not have line symmetry$?$
Answer


We observe that the given figure has $2$ line of symmetry.
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Question 691 Mark
Order of rotational symmetry of
is __________.
Answer
Since, isosceles triangle has rotational symmetry of order $1.$
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Question 701 Mark
The circle, the square, the rectangle and the triangle are examples of plane figures.
Answer
True.

Solution:

The circle, the square, the rectangle and the triangle are examples of plane figures.

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Question 711 Mark
An angle has two lines of symmetry.
Answer
False.Solution:
For an angle, only its angle bisector is its line of symmetry. So the given statement is false.
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Question 721 Mark
Out of __________ faces of a triangular prism, __________are rectangles and __________ are triangles.
Answer
Out of $5$ faces of a triangular prism, $3$ are rectangles and $2$ are triangles.
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Question 741 Mark
We can draw exactly one triangle whose angles are $70^\circ , 30^\circ $ and $80^\circ $
Answer
Though the angles are unique for the triangle, but the length of the sides can differ and hence the number of triangles that can be drawn with this angles will also be more. So the given statement is false. We can draw more than one triangle whose angles are $70^\circ , 30^\circ $ and $80^\circ .$
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Question 761 Mark
Which of the following figure do not have line symmetry?
Answer


We observe that the given figure has $2$ line of symmetry.
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Question 771 Mark
A circle has two lines of symmetry.
Answer
False.

Solution:

Since, a circle has infinite lines of symmetry.

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Question 781 Mark
After rotating a figure by $120^\circ $ about its centre, the figure coincides with its original position. This will happen again if the figure is rotated at an angle of $240^\circ .$
Answer
The given statement is true.
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Question 791 Mark
is a net of a __________.
Answer
is a net of a triangular prism.Solution:
is a net of a triangular prism.
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Question 801 Mark
A solid with no vertex is __________.
Answer
Since, a sphere is a solid with $0$ vertex, $0$ edge and $1$ curved surface.
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Question 831 Mark
By what minimum angle does a regular hexagon rotate so as to coincide with its origional position for the first time?
Answer
A regular hexagon must be rotated through a minimum angle of $60^\circ .$
So, that it can coincide with its original position for the first time.
Because the angle of rotation of hexagon.
$\frac{360^\circ}{\text{Number of side}}=\frac{360^\circ}{6}=60^\circ$
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Question 841 Mark
__________ and __________ are the capital letters of English alphabets that have one line of symmetry but they interchange to each other when rotated through $180^\circ .$
Answer
$M$ and $W$ are the capital letters of English alphabets that have one line of symmetry but they interchange to each other when rotated through $180^\circ .$
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Question 871 Mark
In an isosceles right triangle, the number of lines of symmetry is ________.
Answer
In an isosceles right triangle, the number of lines of symmetry is One.Solution:
An isosceles triangle has only one line of symmetry drawn from the vertex touching the base as shown in the figure: In an isosceles right triangle, the number of lines of symmetry is one.
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Question 881 Mark
The base of a triangular pyramid is a __________.
Answer
The base of a triangular pyramid is a triangle.

Solution:

The base of a triangular pyramid is a triangle.

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Question 891 Mark
In the figure of a cube.

Give all the edges that are parallel to edge $AB.$
Answer
The edges which are parallel to edge $AB$ are: $CD, EF$ and $HG.$ The edges are highlighted in given figure:
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Question 901 Mark
__________ triangle is a figure that has a line of symmetry but lacks rotational symmetry.
Answer
Isosceles triangle is a figure that has a line of symmetry but lacks rotational symmetry.Solution:
An isosceles triangle is a figure that has a line of symmetry but lacks rotational symmetry.
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Question 911 Mark
Each of the letters $H, N, S$ and $Z$ has a rotational symmetry of order __________.
Answer
Each of the letters $H, N, S$ and $Z$ has a rotational symmetry of order two.
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Question 921 Mark
In the figure of a cube.

Give the edges that are neither parallel nor perpendicular to edge $BC.$
Answer
The edges that are neither parallel nor perpendicular to edge $BC$ are $AE, EF, GH$ and $HD.$ The edges are highlighted in given figure:
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Question 931 Mark
In the figure of a cube.

Which faces intersect at edge $FB?$
Answer
From the figure it is observed that faces $EFBA$ and $FBCG$ intersect at edge $FB$ Faces are highlighted in the given figure:
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Question 941 Mark
A parallelogram has two lines of symmetry.
Answer
False.

Solution:

A parallelogram has no lines of symmetry.

So the given statement is false.

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Question 951 Mark
Each face of a cuboid is a __________.
Answer
Each face of a cuboid is a rectangle.Solution:
Since, a solid bounded by six rectangular faces is called a cuboid. $\therefore$ Each face of a cuboid is a rectangle.
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Question 961 Mark
Rhombus is a figure that has ______ lines of symmetry and has a rotational symmetry of order _______.
Answer
Rhombus is a figure that has two lines of symmetry and has a rotational symmetry of order two.

Solution:

A rhombus has two lines of symmetry along the diagonal and has a rotational symmetry of order two.

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1 Marks Question - Page 2 - Maths STD 7 Questions - Vidyadip