Question

State and draw the lines of symmetry for a rhombus.

Answer 1

Hint: We will consider the fact that the diagonals are the lines of symmetry of a rhombus. We will also compare the rhombus with square and rectangle in order to reduce the doubt about symmetry. Moreover, then we will also use a diagram to understand the symmetry better.

Complete step-by-step answer:

If we see a rhombus we get to know that it comes from a family of squares and rectangular shapes. This is because if we see the rhombus we come to know that these three have the similar lines or we can say that these three have parallel lines opposite to each other.
The figure for a rhombus is shown below.

Now, we look at its lines of symmetry. If we see then only by folding a rhombus into vertically half then we see that this half line cannot be the line of symmetry as the lines will not coincide. Similarly, if we fold the rhombus into horizontally half then we come across a there is also no line of symmetry forming again. By this we have come to the conclusion that if we fold the rhombus into two halves one by one in a way that they coincide on their halves, then a rhombus still has only 2 lines of symmetry. And these lines of symmetries are its diagonals.
Hence, rhombus has two lines of symmetry.

Note: By comparing the rhombus to a square one can draw four lines of symmetry as a square has four lines of symmetry. Since, all the angles of a rhombus are not ${{90}^{\circ }}$ like that of a square then its lines of symmetry is only 2. Similarly, after comparing to the rectangle we will see the folding coinciding to each other in case of both rectangle and rhombus. One can mistake while finding the symmetries of any shape. By using the above folding part, we will be able to answer any question properly regarding symmetry of any form or shape. Also, while solving these types of questions, remembering the degree of the shape will ease us in finding the symmetries.