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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
Q41Written answer

Out of __________ faces of a triangular prism, __________are rectangles and __________ are triangles.

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Ans: A triangular prism has five faces. Out of $5$ faces of a triangular prism, $3$ are rectangles and $2$ are triangles.


Q42Written answer

The base of a triangular pyramid is a __________.

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Ans: A triangular pyramid is a geometric shape that has a triangular base and three triangular faces, having a common vertex. The base of a triangular pyramid is a triangle.


Q43Written answer

Out of __________ faces of a square pyramid, __________ are triangles and __________ is/are squares.

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Ans: A square pyramid is a pyramid having a square base. It has $5$ faces, $8$ edges and $5$ vertices. Out of $5$ faces of a square pyramid,$4$ are triangles and $1$ is square.


Q44Written answer

Out of __________ faces of a rectangular pyramid __________ are triangles and base is __________.

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Ans: It is known that if the base of a pyramid is rectangular, then it is called a rectangular pyramid. Out of $5$ faces of a rectangular pyramid, $4$ are triangles and base is rectangle.


Q45Written answer

Each of the letters ${\mathbf{H, N, S}}$ and ${\mathbf{Z}}$ has a rotational symmetry of order __________.

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Ans: A shape has Rotational Symmetry when it still looks the same after some rotation. Each of the letters ${\mathbf{H, N, S}}$ and ${\mathbf{Z}}$ has a rotational symmetry of order two.


Q46Written answer

Order of rotational symmetry of a rectangle is __________.

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Ans: In a complete turn (of ${360^\circ }$ ), the number of times the figure coincides with its original position is called its order of rotational symmetry. Order of rotational symmetry of a rectangle is two.


Q47Written answer

Order of rotational symmetry of a circle is __________.

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Ans: In a complete turn (of ${360^\circ }$ ), the number of times the figure coincides with its original position is called its order of rotational symmetry. Order of rotational symmetry of a circle is infinite.


Q48Written answer

Each face of a cuboid is a __________.

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Ans:


seo images

From the picture of cuboid, it is clear that,

Each face of a cuboid is a rectangle.


Q49Written answer

Line of symmetry for an angle is its __________.

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Ans: Line of symmetry is an imaginary line that divides the figure in two equal halves. Therefore, the line of symmetry for an angle is its bisector.


Q50Written answer

A parallelogram has __________ line of symmetry.

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Ans: There is no line of symmetry of a parallelogram along its length, breadth. There is no superimposition of one half on the other when folded along its half. The diagonals are not symmetrical. Therefore, a parallelogram has no line of symmetry.