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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
Q81Written answer

Two dimensional figures are also called plane figures.

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Worked solution

Ans: Two-dimensional figure is a figure that lies completely in one plane.

So, two dimensional figures are also known as plane figures.

Therefore, the given statement is True.


Q82Written answer

A cone is a polyhedron.

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Worked solution

Ans: Polyhedrons are ${\text{3 - D}}$ figures with rectangular bases.

So, a cone is not a polyhedron.

Therefore, the given statement is False.


Q83Written answer

A prism has four bases.

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Ans: A prism has only one base.

Therefore, the given statement is False.


Q84Written answer

The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.

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Worked solution

Ans: It is true that the number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.

Therefore, the given statement is True.


Q85Written answer

The order of rotational symmetry of a figure is ${\mathbf{4}}$ and the angle of rotation is ${\mathbf{180^\circ }}$ only.

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Worked solution

Ans: If the order of rotational symmetry of a figure is $4$ then the angle of rotation must be ${90}^{\circ} $ only.

Therefore, the given statement is False.


Q86Written answer

After rotating a figure by ${\mathbf{120^\circ }}$ about its center, the figure coincides with its original position. This will happen again if the figure is rotated at an angle of ${\mathbf{240^\circ }}$.

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Worked solution

Ans: It is true that after rotating a figure by $120^\circ $ about its center, the figure coincides with its original position. This will happen again if the figure is rotated at an angle of $240^\circ $.

Therefore, the given statement is True.


Q87Written answer

Mirror reflection leads to symmetry always.

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Worked solution

Ans: Mirror reflection does not always lead to symmetry.

Therefore, the given statement is False.


Q88Written answer

Rotation turns an object about a fixed point which is known as the center of rotation.

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Worked solution

Ans: The fixed point is the center of rotation. And the angle by which the object rotates is the angle of rotation.

Therefore, the given statement is True.


Q89Written answer

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

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

Therefore, the given statement is False.


Q90Written answer

The circle, the square, the rectangle and the triangle are examples of plane figures.

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Worked solution

Ans: A plane figure is a flat figure with closed lines that stays in a single plane. The lines of the figure can be straight, curved or a combination. Some examples of plane figures are triangles, rectangles, squares, rhombuses, parallelograms, circles, ovals, hearts, pentagons and hexagons.

Therefore, the given statement is True.