Ncert exemplar solutions mathematics class 7 Solutions for Chapter 12 practical geometry symmetry and visualising solid shapes

A triangle can be constructed by taking its sides as:

(a) 1.8 cm, 2.6 cm, 4.4 cm (b) 2 cm, 3 cm, 4 cm

(c) 2.4 cm, 2.4 cm, 6.4 cm (d) 3.2 cm, 2.3 cm, 5.5 cm

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

(a) 110o , 40o

(b) 70o , 115o

(c) 135o , 45o

(d) 90o , 90o

The number of lines of symmetry in the figure given below is:

(a) 4 (b) 8

(c) 6 (d) Infinitely many

The number of lines of symmetry in Fig. 12.14 is

(a) 1 (b) 3 (c) 6 (d) Infinitely many

The order of rotational symmetry in the Fig. 12.15 given below is

(a) 4 (b) 8 (c) 6 (d) Infinitely many

The order of rotational symmetry in the figure 12.16 given below is

(a) 4 (b) 2 (c) 1 (d) Infinitely many

The name of the given solid in Fig 12.17 is:

(a) triangular pyramid (b) rectangular pyramid (c) rectangular prism (d) triangular prism

The name of the solid in Fig. 12.18 is:

(a) triangular pyramid (b) rectangular prism

(c) triangular prism (d) rectangular pyramid

All faces of a pyramid are always:

(a) Triangular (b) Rectangular

(c) Congruent (d) None of these

A solid that has only one vertex is

(a) Pyramid (b) Cube (c) Cone (d) Cylinder

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

(a) Square (b) Sphere (c) Triangle (d) Circle

Total number of edges a cylinder has

(a) 0 (b) 1 (c) 2 (d) 3

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

(a) prism (b) pyramid (c) cone (d) sphere

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

(a) cone (b) sphere (c) cylinder (d) prism

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

(a) 12 cm × 4 cm × 4 cm (b) 4 cm × 8 cm × 4 cm

(c) 4 cm × 8 cm × 12 cm (d) 4 cm × 6 cm × 8 cm

When we cut a corner of a cube as shown in the figure 12.19, we get the cutout piece as :

(a) square pyramid (b) trapezium prism

(c) triangular pyramid (d) a triangle

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

(a) cone of height 5 cm, base 3 cm

(b) triangle of height 5 cm, base 3 cm

(c) cone of height 5 cm, base 6 cm

(d) triangle of height 5 cm, base 6 cm

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

(a) cone of height 3 cm and base 3 cm

(b) cone of height 5 cm and base 5 cm

(c) cone of height 5 cm and base 3 cm

(d) cone of height 3 cm and base 5 cm

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

(a) square (b) rectangle but not a square

(c) circle (d) triangle

Which of the following sets of triangles could be the lengths of the sides of a rightangled triangle:

(a) 3 cm, 4 cm, 6 cm (b) 9 cm, 16 cm, 26 cm

(c) 1.5 cm, 3.6 cm, 3.9 cm (d) 7 cm, 24 cm, 26 cm

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

(a) AB = 4 cm, BC = 8 cm and CA = 2 cm

(b) BC = 5.2 cm, ∠B = 90° and ∠C = 110°

(c) XY = 5 cm, ∠X = 45° and ∠Y = 60°

(d) An isosceles triangle with the length of each equal side 6.2 cm.

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.

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.

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