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NCERT Exemplar · Class 7 · Maths

Chapter 12: Practical Geometry Symmetry and Visualising Solid Shapes

Practice each question, then open the answer or worked solution.

Textbook exercises

124 questions
Q51Written answer

Order of rotational symmetry of the following figure is_________.


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Worked solution

Ans: Octagon possesses eight orders of rotational symmetry.

Order of rotational symmetry is $8$.


Q52Written answer

A __________ triangle has no lines of symmetry.

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Ans: In scalene triangle all sides and angles are unequal and so there is no line of symmetry. 

A Scalene triangle has no lines of symmetry.


Q53Written answer

Cuboid is a rectangular_________ .

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Ans: Rectangular prism and cuboid refers to the same solid body. 

Cuboid is a rectangular prism.


Q54Written answer

A sphere has __________vertex, __________edge and __________curved surface.

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Ans: Sphere is a solid body with zero vertex, zero edge and one curved surface. 

A sphere has $0$ vertex, $0$ edge and $1$ curved surface.


Q55Written answer

The following figure is a net of a __________.


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→ Circumference of circle = ______.

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Ans: On observing the given figure, it represents a cone.

Therefore It is the net of a cone.

→ Circumference of circle ${\text{ =  2}}\pi r$.


Q56Written answer

The following is a net of a __________.


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Ans: On observing the given figure, it represents a triangular prism.

Therefore it is a net of a triangular prism.


Q57Written answer

Order of rotational symmetry of the following figure is __________.


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Ans: Given figure represents an isosceles triangle.

Isosceles triangle possesses one order of rotational symmetry.

Order of rotational symmetry is one.


Q58Written answer

Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _________.


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Ans: There are $20$ such cubes which are not visible.

Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are $20$.


In Questions from 59 to 92, state whether the statements are True or False.

Q59Written answer

We can draw exactly one triangle whose angles are ${{70}^{\circ}, {30}^{\circ }}$ and ${\mathbf{80^\circ }}$.

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Ans: This is not true exactly as there can be infinite number of triangles with angles ${70}^{\circ} ,{30}^{\circ} $ and ${80}^{\circ} $ with various different combinations of sides.

Therefore, the given statement is False.


Q60Written answer

The distance between the two parallel lines is the same everywhere.

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Ans: The distance between the two parallel lines is always the same everywhere.

Therefore, the given statement is True.