NCERT Exemplar solutions for Mathematics [English] Class 7 chapter 12 - Practical Geometry Symmetry and Visualising Solid Shapes [Latest edition]

A triangle can be constructed by taking its sides as ______.

A triangle can be constructed by taking two of its angles as ______.

The number of lines of symmetry in the figure given below is ______.

The number of lines of symmetry in the figure given below is ______.

The order of rotational symmetry in the figure given below is ______.

The order of rotational symmetry in the figure given below is ______.

The name of the given solid in the figure is ______.

The name of the solid in figure is ______.

All faces of a pyramid are always ______.

A solid that has only one vertex is ______.

Out of the following which is a 3-D figure?

Total number of edges a cylinder has ______.

A solid that has two opposite identical faces and other faces as parallelograms is a ______.

The solid with one circular face, one curved surface and one vertex is known as ______.

If three cubes each of edge 4 cm are placed end to end, then the dimensions of resulting solid are ______.

When we cut a corner of a cube as shown in the figure, we get the cutout piece a ______.

If we rotate a right-angled triangle of height 5 cm and base 3 cm about its height a full turn, we get ______.

If we rotate a right-angled triangle of height 5 cm and base 3 cm about its base, we get ______.

When a torch is pointed towards one of the vertical edges of a cube, you get a shadow of cube in the shape of ______.

Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle?

In which of the following cases, a unique triangle can be drawn?

Which of the following has a line of symmetry?

Which of the following are reflections of each other?

Which of these nets is a net of a cube?

Which of the following nets is a net of a cylinder?

Which of the following letters of English alphabets have more than 2 lines of symmetry?

Take a square piece of paper as shown in figure (1). Fold it along its diagonals as shown in figure (2). Again fold it as shown in figure (3). Imagine that you have cut off 3 pieces of the form of congruent isosceles right-angled triangles out of it as shown in figure 4.

(1)	(2)	(3)	(4)

On opening the piece of paper which of the following shapes will you get?

Which of the following 3-dimensional figures has the top, side and front as triangles?

In an isosceles right triangle, the number of lines of symmetry is ______.

Rhombus is a figure that has ______ lines of symmetry and has a rotational symmetry of order ______.

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

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

______ and ______ are the capital letters of English alphabets that have one line of symmetry but they interchange to each other when rotated through 180°.

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

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

The corners of solid shapes are called its ______.

A solid with no vertex is ______.

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

A triangular pyramid has ______ faces, ______ edges and ______ vertices.

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

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

The base of a triangular pyramid is a ______.

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

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

Each of the letters H, N, S and Z has a rotational symmetry of order ______.

Order of rotational symmetry of a rectangle is ______.

Order of rotational symmetry of a circle is ______.

Each face of a cuboid is a ______.

Line of symmetry for an angle is its ______.

A parallelogram has ______ line of symmetry.

Order of rotational symmetry of is ______.

A ______ triangle has no lines of symmetry.

Cuboid is a rectangular ______.

A sphere has ______ vertex, ______ edge and ______ curved surface.

is a net of a ______ . `→` Circumference of circle = ______.

is a net of a ______.

Order of rotational symmetry of    is ______.

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

We can draw exactly one triangle whose angles are 70°, 30° and 80°.

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

A circle has two lines of symmetry.

An angle has two lines of symmetry.

A regular hexagon has six lines of symmetry.

An isosceles trapezium has one line of symmetry.

A parallelogram has two lines of symmetry.

Order of rotational symmetry of a rhombus is four.

An equilateral triangle has six lines of symmetry.

Order of rotational symmetry of a semi-circle is two.

In oblique sketch of the solid, the measurements are kept proportional.

An isometric sketch does not have proportional length.

A cylinder has no vertex.

All the faces, except the base of a square pyramid are triangular.

A pyramid has only one vertex.

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

If the base of a pyramid is a square, it is called a square pyramid.

A rectangular pyramid has 5 rectangular faces.

Rectangular prism and cuboid refer to the same solid.

A tetrahedron has 3 triangular faces and 1 rectangular face.

While rectangle is a 2-D figure, cuboid is a 3-D figure.

While sphere is a 2-D figure, circle is a 3-D figure.

Two dimensional figures are also called plane figures.

A cone is a polyhedron.

A prism has four bases.

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

The order of rotational symmetry of a figure is 4 and the angle of rotation is 180° only.

After rotating a figure by 120° about its centre, the figure coincides with its original position. This will happen again if the figure is rotated at an angle of 240°.

Mirror reflection leads to symmetry always.

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

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

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

The solid shapes are of two-dimensional.

Triangle with length of sides as 5 cm, 6 cm and 11 cm can be constructed.

Draw the top, side and front views of the solids given below in the figure:

Draw the top, side and front views of the solids given below in the figure:

Draw a solid using the top. side and front views as shown below. [Use Isometric dot paper].

Construct a right-angled triangle whose hypotenuse measures 5 cm and one of the other sides measures 3.2 cm.

Construct a right-angled isosceles triangle with one side (other than hypotenuse) of length 4.5 cm.

Draw two parallel lines at a distance of 2.2 cm apart.

Draw an isosceles triangle with each of equal sides of length 3 cm and the angle between them as 45°.

Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.

Construct an obtuse angled triangle which has a base of 5.5 cm and base angles of 30° and 120°.

Construct an equilateral triangle ABC of side 6 cm.

By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry.

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry.

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the following figure, write the number of lines of symmetry and order of rotational symmetry

[Hint: Consider these as 2-D figures not as 3-D objects.]

In the figure of a cube, Which edge is the intersection of faces EFGH and EFBA?

In the figure of a cube, Which faces intersect at edge FB?

In the figure of a cube, Which three faces form the vertex A?

In the figure of a cube, Which vertex is formed by the faces ABCD, ADHE and CDHG?

In the figure of a cube, Give all the edges that are parallel to edge AB.

In the figure of a cube, Give the edges that are neither parallel nor perpendicular to edge BC.

In the figure of a cube, Give all the edges that are perpendicular to edge AB.

In the figure of a cube, Give four vertices that do not all lie in one plane.

Draw a net of a cuboid having same breadth and height, but length double the breadth.

Draw the nets of the following:

Triangular prism

Draw the nets of the following:

Tetrahedron

Draw the nets of the following:

Cuboid

Draw a net of the solid given in the figure:

Draw an isometric view of a cuboid 6 cm × 4 cm × 2 cm.

The net given below in the figure can be used to make a cube. Which edge meets AN?

The net given below in the figure can be used to make a cube. Which edge meets DE?

Draw the net of triangular pyramid with base as equilateral triangle of side 3 cm and slant edges 5 cm.

Draw the net of a square pyramid with base as square of side 4 cm and slant edges 6 cm.

Draw the net of rectangular pyramid with slant edge 6 cm and base as rectangle with length 4 cm and breadth 3 cm.

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Find the number of cubes in the following figure and give the top, front, left side and right side view (arrow indicating the front view).

Draw all lines of symmetry for the following figure as given below:

Draw all lines of symmetry for the following figure as given below:

Draw all lines of symmetry for the following figure as given below:

How many faces does figure have?

Trace figure. Then draw all lines of symmetry, if it has.

Trace figure. Then draw all lines of symmetry, if it has.

Trace figure. Then draw all lines of symmetry, if it has.

Tell whether the figure has rotational symmetry or not.

Tell whether the figure has rotational symmetry or not.

Tell whether the figure has rotational symmetry or not.

Tell whether the figure has rotational symmetry or not.

Tell whether the figure has rotational symmetry or not.

Tell whether the figure has rotational symmetry or not.

Draw all lines of symmetry for the following figure.

Draw all lines of symmetry for the following figure.

Draw all lines of symmetry for the following figure.

Draw all lines of symmetry for the following figure.

Draw all lines of symmetry for the following figure.

Draw all lines of symmetry for the following figure.

Tell whether the figure has rotational symmetry. Write yes or no.

Tell whether the figure has rotational symmetry. Write yes or no.

Tell whether the figure has rotational symmetry. Write yes or no.

Tell whether the figure has rotational symmetry. Write yes or no.

Does the figure have rotational symmetry?

The flag of Japan is shown below. How many lines of symmetry does the flag have?

Which of the figure given below have both line and rotational symmetry?

(a)		(b)
(c)		(d)

Which of the following figure do not have line symmetry?

(a)		(b)
(c)		(d)

Which capital letters of English alphabet have no line of symmetry?