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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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1 Marks Question - Maths STD 7 Questions - Vidyadip