Copy the following drawing on squared paper. Complete each one of them such that the resulting figure has two dotted lines as two lines of symmetry. How did you go about completing the picture?a)

b)

c)

d)

e)

f)

Question

Copy the following drawing on squared paper. Complete each one of them such that the resulting figure has two dotted lines as two lines of symmetry. How did you go about completing the picture?a)

b)

c)

d)

e)

f)

Vedantu Content Team · Accepted Answer

Hint:Here, we have to use the concept of symmetry. Symmetry is defined as an identical and a balanced similarity which is found in two halves of an object i.e. one-half is the mirror image of the other half of the object. So we have to draw the incomplete figure and draw the figure in such a way that it will be symmetric about two lines of symmetry. Firstly we will draw the mirror image of the given figure about x axis and then draw the mirror image of the given figure about y axis.Complete step by step solution:a)

Firstly we will draw the mirror image of the given figure about x axis, we get

And now we have to draw the mirror image of the given figure about y axis, we get

Similarly we have to draw for the rest of the figures.b)

c)

d)

e)

f)

Note:Symmetry is used when doing calculations that involve different shapes like spheres, circles, equilateral or isosceles triangles, etc. For example, suppose I have to make a building. So, if the building is symmetric then my calculation for its analysis is much simpler than if it were not symmetric. This is one example, but in general, symmetry in real life is used to simplify calculations and solve problems more easily. Symmetry also helps human beings to develop different things out of their capabilities. For example, two eyes are necessary for stereoscopic vision. Two ears help us get a better 3-dimensional sensation of hearing.Generally there is three type of Symmetry1) Radial symmetry: It is the symmetry in which the object looks symmetric about its centre like a pie.2) Bilateral symmetry: It is the type of symmetric in which the object is divided by an axis and on both sides of the axis the object looks the same.3) Spherical symmetry: It is the type of symmetric in which the object is cut through its center, resulting in both parts looking the same.