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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
Q31Written answer

__________ triangle is a figure that has a line of symmetry but lacks rotational symmetry.

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Ans: The triangle which has only one line of symmetry and no rotational symmetry is the isosceles triangle. Therefore, the Isosceles triangle is a figure that has a line of symmetry but lacks rotational symmetry.


Q32Written answer

__________ is a figure that has neither a line of symmetry nor a rotational symmetry.

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Ans: The angles of a scalene triangle have different measures. Therefore, the Scalene triangle is a figure that has neither a line of symmetry nor a rotational symmetry.


Q33Written answer

__________ and __________ are the capital letters of English alphabets that have one line of symmetry but they interchange to each other when rotated through ${\mathbf{180^\circ }}$.

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Ans: 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 ${\mathbf{180^\circ }}$.


Q34Written answer

The common portion of two adjacent faces of a cuboid is called __________.

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Ans: Any two adjacent faces of a cuboid meet in a line segment, which is called an edge of the cuboid. Therefore, the common portion of two adjacent faces of a cuboid is called edge.


Q35Written answer

A plane surface of a solid enclosed by edges is called __________ .

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Ans: A face is any of the individual flat surfaces of a solid object. Therefore, a plane surface of a solid enclosed by edges is called face.


Q36Written answer

The corners of solid shapes are called its __________.

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Ans: Solid shapes have attributes like face, vertices, edges that describe them. Therefore, the corners of solid shapes are called its vertices.


Q37Written answer

A solid with no vertex is __________.

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Ans: Sphere is the only solid figure with zero vertex, zero edge and one curved surface. 

Therefore, a solid with no vertex is a sphere.


Q38Written answer

A triangular prism has __________ faces, __________ edges and __________ vertices.

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Ans: A triangular prism is polyhedron and a three-dimensional shape.

A triangular prism has $5$ faces, $9$ edges and $6$ vertices.


Q39Written answer

A triangular pyramid has __________ faces, __________ edges and __________vertices.

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Ans: A triangular pyramid is a pyramid having a triangular base. A triangular pyramid has $4$ faces, $6$ edges and $4$ vertices.


Q40Written answer

A square pyramid has __________ faces, __________ edges and __________ vertices.

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Ans: A square pyramid is a pyramid having a square base. A square pyramid has $5$ faces, $8$ edges and $5$ vertices.