MATHS 1 Marks Question

The given figure does not show rotational symmetry because one part of design is undarken, whereas other three part are darken. Hence, the design does not show symmetry.

False.Solution:
Order of rotational symmetry of a semi circle is one. So the given statement is false.

Cuboid is a rectangular prism.Solution:
Cuboid is a rectangular prism. Rectangular prism and cuboid are same solids.

The net of such triangular pyramid will be

False.Solution:
Mirror reflection not always lead to symmetry.

The capital letters of English alphabet have no line of symmetry are as follows:
F, G, J, L, N, R, Q, S and Z.

False.

Solution:

Though the angles are unique for the triangle, but the length of the sides can differ and hence the number of triangles that can be drawn with this angles will also be more.

So the given statement is false.

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

Net for triangular prism.

Net for tetrahedron.

Net for cuboid.

The net of such triangular pyramid will be

The required net is as follows:

 

The net of such square pyramid will be

Isometric view of a cuboid = 6cm × 4cm × 2cm
= l × b × h

Required net of a cuboid will be

We observe that the given figure has 2 line of symmetry.

The given figure has no line of symmetry.

We observe that the given figure has 2 line of symmetry.

The given figure has no line of symmetry.

Japan’s flag has two line of symmetry which is as shown below:

No.

Yes.

Yes.

Yes.

Figures which have rotational symmetry are as follows:

1. 
   

3. 
   

4. 
   

5. 
   

6. 
   
   Figure b has no rotational symmetry.

2. 
   

From the figure it is observed that faces EFBA and FBCG intersect at edge FB Faces are highlighted in the given figure:

The edges that are perpendicular to edge AB are as follows AE, BF, AD and BC. The edges are highlighted in given figure:

The edges that are neither parallel nor perpendicular to edge BC are AE, EF, GH and HD. The edges are highlighted in given figure:

The edges which are parallel to edge AB are: CD, EF and HG. The edges are highlighted in given figure:

The three faces which form the vertex A are ABFE, ABCD and ADHE. Faces are highlighted in the given figure:

A, B, G and H are four vertices that do not all lie in one plane. The vertices are highlighted in given figure:

From the figure it is observed that EF is the intersection between faces EFGH and EFBA. The edge EF is highlighted in figure:

Vertex D is formed by the faces ABCD, ADHE and CDHG. D is highlighted in given figure:

The total number of faces of the figure is 16.

For given figure

For given figure

The required net is as follows.

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