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

An isosceles triangle is a figure that has a line of symmetry but lacks rotational symmetry. Solution A figure has line symmetry if there is a... View Article

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

Rhombus is a figure that has 2 lines of symmetry and has rotational symmetry of order 2. Solution A figure has line symmetry if there is a line... View Article

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

In an isosceles right triangle, the number of lines of symmetry is one. Solution A figure has line symmetry if there is a line about which the... View Article

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

Solution Figure (c) has the top, side and front as triangles.... View Article

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?

On opening the piece of paper which of the following shapes will you get? Solution:- Finally, we get a shape like a figure (a).... View Article

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

The correct answer is Figure (b) Solution ‘O’ has more than 2 lines of symmetry. A figure has line symmetry if there... View Article

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

The correct answer is Figure (c) is a net of a cylinder. Solution When the surface of a three-dimensional shape is laid out flat... View Article

Which of these nets is a net of a cube?

The correct answer is Figure (b) is a net of a cube. Solution When the surface of a three-dimensional shape is laid out flat showing each... View Article

Which of the following are reflections of each other?

The correct answer is Figure (a) Solution Mirror reflection leads to symmetry, under which the left-right orientation have to be taken... View Article

Which of the following has a line of symmetry?

The correct answer is Figure (c) has a line of symmetry. Solution A figure has line symmetry if there is a line about which the figure may be... View Article

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.

The correct answer is (c) XY = 5 cm, ∠X = 45° and ∠Y = 60° Solution A triangle can be drawn if two angles and a side... View Article

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

The correct answer is (c) 1.5 cm, 3.6 cm, 3.9 cm Solution From the Pythagoras theorem, Hypotenuse2 = base2 + heihgt2 Consider 3.9cm... View Article

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

The correct answer is (b) rectangle but not a square Solution We know that shadow is longer than the object, Hence when a torch is pointed... View Article

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

The correct answer is (d) cone of height 3 cm and base 5 cm A right circular cone is one whose axis is perpendicular to the plane of the... View Article

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

The correct answer is (a) cone of height 5 cm, base 3 cm A right circular cone is one whose axis is perpendicular to the plane of the base.... View Article

When we cut a corner of a cube as shown in the figure, we get the cutout piece as (a) square pyramid (b) trapezium prism (c) triangular pyramid (d) a triangle

The correct answer is (c) Triangular pyramid A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces,... View Article

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

The correct answer is (a) 12 cm × 4 cm × 4 cm Solution If three cubes each of edge 4 cm are placed end to end, then the resulting... View Article

The solid with one circular face, one curved surface and one vertex is known as (a) cone (b) sphere (c) cylinder (d) prism

The correct answer is (a) cone Solution A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually... View Article

A solid that has two opposite identical faces and other faces as parallelograms is a (a) prism (b) pyramid (c) cone (d) sphere

The correct answer is (a) prism Solution A prism has a solid shape comprising of two identical ends (such as triangle, square, rectangle,... View Article

Total number of edges a cylinder has (a) 0 (b) 1 (c) 2 (d) 3

The correct answer is (c) 2 Solution A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved... View Article

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