Lines of symmetry in a parallelogram vary from kind to type. In straightforward words, the parallelogram lines that symmetry refer to the lines which reduced the parallelogram right into two similar parts. Come recall, a parallelogram is a quadrilateral (4-sided figure) wherein the opposite sides room parallel to every other.

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What are the currently of the opposite in Parallelograms?

The lines of symmetry room those present which divide a parallelogram into two halves where each half is the mirror picture of the other. Various parallelograms have various lines that symmetry and also the different number of symmetry lines.


Symmetry lines in Parallelograms
Parallelogram NameNumber of the opposite Lines
Square4
Rectangle2
Rhombus2

There room three types of a parallelogram whose number of symmetry lines are offered in the previously mentioned table. Listed below are the explanations on the lines of the contrary in every of these parallelograms.

Lines of the contrary in a Square

In a square, there are 4 lines the symmetry, every of which divides it right into two the same parts. The symmetry present of a square room both its diagonals and the lines joining the midpoints of its opposite political parties (bisectors).

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Lines of symmetry in a Rectangle

There space two present of symmetry in a rectangle which cuts it into two equal halves. In a rectangle, the currently of symmetry space those currently which sign up with the midpoint of the opposite and also parallel present (i.e. The bisector) that the rectangle.

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Lines of symmetry in a Rhombus

In a rhombus, the currently of symmetry room its diagonals. So, the number of symmetry currently in a rhombus room two i.e. Its diagonals which divide it right into two identical halves where each part is the mirror image of the other.

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It should be detailed that a figure shows the opposite only when the heat of the opposite divides the figure in a way that both the halves become the mirror image of each other. So, in a rectangle and a rhombus, that is checked out that the currently of symmetry room not the exact same as that of the square.

In any kind of figure, there have the right to be multiple currently of symmetry. Thus, the is essential to check whether the present of symmetry division the number not just in equal parts however as mirror pictures also.

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Rotational the opposite in Parallelograms

Rotational the contrary is the symmetry within the number retains its precise appearance after the is rotated about a center point. Different parallelograms have different orders of rotational symmetry which are stated below.


Order of Rotational symmetry in Parallelograms
Parallelogram NameOrder that Rotational SymmetryAngle of Rotation
Square490°, 180°, 270° and also 360°
Rectangle2180° and 360°
Rhombus2180° and also 360°

Frequently Asked questions on currently Of symmetry in a Parallelogram


What is a Parallelogram?