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Question 21 Mark
A triangular prism has __________ faces, __________ edges and __________ vertices.
Answer
A triangular prism has five faces, nine edges and six vertices.Solution:
A triangular prism has five faces, nine edges and six vertices.
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Question 31 Mark
Two dimensional figures are also called plane figures.
Answer
$2-D$ figures are also called plane figures.
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Question 51 Mark
Line of symmetry for an angle is its __________.
Answer
Line of symmetry for an angle is its angle bisector.

Solution:

Line of symmetry for an angle is its angle bisector.

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Question 61 Mark
Out of __________ faces of a square pyramid, __________ are triangles and __________ is/ are squares.
Answer
Out of $5$ faces of a square pyramid, $4$ are triangles and $1$ is/ are squares.
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Question 71 Mark
A cylinder has no vertex.
Answer
A cylinder has $3$ faces $- 2$ circle ones and a rectangle. It has $2$ edges and no vertices (no corners). Hence, the given statement is true.
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Question 81 Mark
A triangular prism has $5$ faces, $9$ edges and $6$ vertices.
Answer
The given statement is true. The figure below shows a triangular prism.
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Question 91 Mark
An isometric sketch does not have proportional length.
Answer
False.Solution:
An isometric sketch always have proportional length.
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Question 131 Mark
is a net of a __________. Circumference of circle = ______.
Answer
is a net of a . Circumference of circle =
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Question 141 Mark
The flag of Japan is shown below. How many lines of symmetry does the flag have?
Answer
Japan’s flag has two line of symmetry which is as shown below:
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Question 151 Mark
Order of rotational symmetry of a circle is __________.
Answer
Since, the number of times a figure fits onto itself in one complete rotation is called the order of rotational symmetry. Order of rotational symmetry of a circle is $2.$
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Question 161 Mark
In the figure of a cube.

Give all the edges that are perpendicular to edge $AB.$
Answer
The edges that are perpendicular to edge $AB$ are as follows $AE, BF, AD$ and $BC.$
The edges are highlighted in given figure:
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Question 171 Mark
The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.
Answer
True.Solution:
The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.
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Question 181 Mark
The net given below in Fig can be used to make a cube.

$1.$ Which edge meets $AN?$
$2.$ Which edge meets $DE?$
Answer
$1.$ The given net of a cube shows that edge $GH$ meets edge $AN.$

$2.$ The given net of a cube shows that edge $DC$ meets edge $DE.$
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Question 191 Mark
Order of rotational symmetry of a rhombus is four.
Answer
False.Solution:
Order of rotational symmetry of a rhombus is two. So the given statement is false.
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Question 201 Mark
An equilateral triangle has six lines of symmetry.
Answer
False.Solution:
Since, in an equilateral triangle, there are three lines of symmetry along the three medians of the triangle.
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Question 211 Mark
Which capital letters of English alphabet have no line of symmetry$?$
Answer
The capital letters of English alphabet have no line of symmetry are as follows: $F, G, J, L, N, R, Q, S$ and $Z.$
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Question 221 Mark
Out of __________ faces of a rectangular pyramid __________ are triangles and base is __________.
Answer
Out of $5$ faces of a rectangular pyramid $4$ are triangles and base is rectangle.
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Question 231 Mark
An isosceles trapezium has one line of symmetry.
Answer
True.

Solution:

Isosceles trapezium has only one line of symmetry along the line segment joining the mid-points of two parallel sides which is shown in figure.

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Question 241 Mark
In the figure of a cube.

Give four vertices that do not all lie in one plane.
Answer
$A, B, G$ and $H$ are four vertices that do not all lie in one plane. The vertices are highlighted in given figure:
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Question 251 Mark
A triangular pyramid has __________ faces, __________ edges and __________vertices.
Answer
A triangular pyramid has $4$ faces, $6$ edges and $4$ vertices.
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Question 271 Mark
Which of the following figure do not have line symmetry?
Answer
The given figure has no line of symmetry.
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Question 291 Mark
The common portion of two adjacent faces of a cuboid is called __________.
Answer
The common portion of two adjacent faces of a cuboid is called edge.Solution:

The common portion of two adjacent faces of a cuboid is called edge.
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Question 301 Mark
__________ is a figure that has neither a line of symmetry nor a rotational symmetry.
Answer
Scalene Triangle is a figure that has neither a line of symmetry nor a rotational symmetry.Solution:
Scalene Triangle has all sides unequal and hence it has not lines of symmetry or rotational symmetry. Scalene Triangle is a figure that has neither a line of symmetry nor a rotational symmetry.
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Question 311 Mark
In the figure of a cube.

Which three faces form the vertex $A?$
Answer
The three faces which form the vertex $A$ are $ABFE, ABCD$ and $ADHE.$ Faces are highlighted in the given figure:
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Question 321 Mark
Draw the net of a square pyramid with base as square of side $4\ cm$ and slant edges $6\ cm.$
Answer
The net of such square pyramid will be
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Question 331 Mark
Rectangular prism and cuboid refer to the same solid.
Answer
True.Solution:
The given statement is true. Rectangular prism and cuboid refer to the same solid. As shows before:
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Question 341 Mark
Draw an isometric view of a cuboid $6\ cm × 4\ cm × 2\ cm.$
Answer


Isometric view of a cuboid $= 6\ cm \times 4\ cm \times 2\ cm$
$= l \times b \times h$ 
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Question 351 Mark
While rectangle is a $2-D$ figure, cuboid is a $3-D$ figure.
Answer
A rectangle is a $2-D$ figure and cuboid is a $3-D$ figure.
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Question 361 Mark
In the figure of a cube.

Which edge is the intersection of faces $EFGH$ and $EFBA?$
Answer
From the figure it is observed that $EF$ is the intersection between faces $EFGH$ and $EFBA.$ The edge $EF$ is highlighted in figure:
 
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Question 371 Mark
Draw a net of a cuboid having same breadth and height, but length double the breadth.
Answer
Required net of a cuboid will be
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Question 381 Mark
A rectangular pyramid has $5$ rectangular faces.
Answer
A rectangular pyramid has $1$ rectangular face and $4$ triangular faces.
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Question 391 Mark
Rotation turns an object about a fixed point which is known as centre of rotation.
Answer
True.Solution:
Centre of rotation turns an object about a fixed point.
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Question 401 Mark
A parallelogram has __________ line of symmetry.
Answer
A parallelogram has no line of symmetry.Solution:
A parallelogram has no line of symmetry.
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Question 421 Mark
A tetrahedron has $3$ triangular faces and $1$ rectangular face.
Answer
A tetrahedron has $4$ triangular faces.
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Question 441 Mark
A sphere has __________vertex, __________edge and __________curved surface.
Answer
A sphere has $0$ vertex, $0$ edge and $1$ curved surface.
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Question 461 Mark
In the figure of a cube.

Which vertex is formed by the faces $ABCD, ADHE$ and $CDHG?$
Answer
Vertex $D$ is formed by the faces $ABCD, ADHE$ and $CDHG.$
$D$ is highlighted in given figure:
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Question 471 Mark
Order of rotational symmetry of a rectangle is __________.
Answer
Order of rotational symmetry of a rectangle is two.

Solution:

Order of rotational symmetry of a rectangle is two.

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Question 481 Mark
Isometric sheet divides the paper into small isosceles triangles made up of dots or lines.
Answer
False.

Solution:

Isometric sheet divides the paper into small equilateral triangles made up of dots or lines.

So the given statement is false.

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Question 501 Mark
Triangle with length of sides as $5\ cm, 6\ cm$ and $11\ cm$ can be constructed.
Answer
The given statement is false.
For a triangle the sum of two sides should be greater than the third side.
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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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Question 1011 Mark
Does the Fig have rotational symmetry?
Answer
The given figure does not show rotational symmetry because one part of design is undarken, whereas other three part are darken. Hence, the design does not show symmetry.
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Question 1021 Mark
Order of rotational symmetry of a semi circle is two.
Answer
False.Solution:
Order of rotational symmetry of a semi circle is one. So the given statement is false.
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Question 1031 Mark
Cuboid is a rectangular_________.
Answer
Cuboid is a rectangular prism.Solution:
Cuboid is a rectangular prism. Rectangular prism and cuboid are same solids.
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Question 1041 Mark
Draw the net of triangular pyramid with base as equilateral triangle of side $3\ cm$ and slant edges $5\ cm.$
Answer
The net of such triangular pyramid will be
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Question 1061 Mark
Order of rotational symmetry of is _________.
Answer
Since, the order of rotational symmetry is the number of times a figure fits onto itself in one full turn.
$\therefore$ Order of rotational symmetry of a given figure is $8.$
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Question 1071 Mark
A square pyramid has __________ faces, __________ edges and __________ vertices.
Answer
A square pyramid has $5$ faces, $8$ edges and $5$ vertices.
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Question 1081 Mark
Mirror reflection leads to symmetry always.
Answer
False.Solution:
Mirror reflection not always lead to symmetry.
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Question 1091 Mark
All the faces, except the base of a square pyramid are triangular.
Answer
A square pyramid has $4$ triangular faces and one square base.
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Question 1101 Mark
Which capital letters of English alphabet have no line of symmetry?
Answer
The capital letters of English alphabet have no line of symmetry are as follows:
F, G, J, L, N, R, Q, S and Z.
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Question 1111 Mark
We can draw exactly one triangle whose angles are 70°, 30° and 80°
Answer
False.

Solution:

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°, 30° and 80°.

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Question 1151 Mark
Draw the net of triangular pyramid with base as equilateral triangle of side 3cm and slant edges 5cm.
Answer
The net of such triangular pyramid will be
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Question 1161 Mark
Draw the net of rectangular pyramid with slant edge 6cm and base as rectangle with length 4cm and breadth 3cm.
Answer
The required net is as follows:

 
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Question 1171 Mark
Draw the net of a square pyramid with base as square of side 4cm and slant edges 6cm.
Answer
The net of such square pyramid will be
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Question 1181 Mark
Draw an isometric view of a cuboid 6cm × 4cm × 2cm.
Answer


Isometric view of a cuboid = 6cm × 4cm × 2cm
= l × b × h
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Question 1191 Mark
Draw a net of a cuboid having same breadth and height, but length double the breadth.
Answer
Required net of a cuboid will be
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Question 1201 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°. 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 1211 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 1221 Mark
Which of the following figure do not have line symmetry?
Answer
The given figure has no line of symmetry.
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Question 1231 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 1241 Mark
Which of the following figure do not have line symmetry?
Answer
The given figure has no line of symmetry.
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Question 1281 Mark
The net given below in Fig can be used to make a cube.
  1. Which edge meets AN?
  2. Which edge meets DE?
Answer
  1. The given net of a cube shows that edge GH meets edge AN.​​​​​​​
  1. The given net of a cube shows that edge DC meets edge DE.
    ​​​​​​​​​​​​​
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Question 1291 Mark
The flag of Japan is shown below. How many lines of symmetry does the flag have?
Answer
Japan’s flag has two line of symmetry which is as shown below:
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Question 1341 Mark
Tell whether each figure has rotational symmetry or not.






Answer
Figures which have rotational symmetry are as follows:






  1. Figure b has no rotational symmetry.

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Question 1351 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 1361 Mark
In the figure of a cube.

Give all the edges that are perpendicular to edge AB.
Answer
The edges that are perpendicular to edge AB are as follows AE, BF, AD and BC. The edges are highlighted in given figure:
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Question 1371 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 1381 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 1391 Mark
In the figure of a cube.

Which three faces form the vertex A?
Answer
The three faces which form the vertex A are ABFE, ABCD and ADHE. Faces are highlighted in the given figure:
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Question 1401 Mark
In the figure of a cube.

Give four vertices that do not all lie in one plane.
Answer
A, B, G and H are four vertices that do not all lie in one plane. The vertices are highlighted in given figure:
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Question 1411 Mark
In the figure of a cube.

Which edge is the intersection of faces EFGH and EFBA?
Answer
From the figure it is observed that EF is the intersection between faces EFGH and EFBA. The edge EF is highlighted in figure:
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Question 1421 Mark
In the figure of a cube.

Which vertex is formed by the faces ABCD, ADHE and CDHG?
Answer
Vertex D is formed by the faces ABCD, ADHE and CDHG. D is highlighted in given figure:
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Question 1561 Mark
Does the Fig have rotational symmetry?
Answer
The given figure does not show rotational symmetry because one part of design is undarken, whereas other three part are darken. Hence, the design does not show symmetry.
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