Lines of symmetry in a parallelogram differ from type to type. In an easy words, the parallel lines that symmetry refer to the lines which cut the parallelogram right into two similar parts. To recall, a parallel is a quadrilateral (4-sided figure) where the the contrary sides space parallel to every other.

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What are the currently of the contrary in Parallelograms?

The present of symmetry room those lines which division a parallelogram right into two halves whereby each half is the mirror photo of the other. Various parallelograms have various lines that symmetry and also the different variety of symmetry lines.


Symmetry currently in Parallelograms
Parallelogram NameNumber of symmetry Lines
Square4
Rectangle2
Rhombus2

There are three varieties of a parallelogram whose number of symmetry present are provided in the aforementioned table. Listed below are the explanations ~ above the present of symmetry in each of this parallelograms.

Lines of the opposite in a Square

In a square, there are four lines that symmetry, each of i m sorry divides it right into two the same parts. The symmetry lines of a square are both the diagonals and also the currently joining the midpoints the its opposite sides (bisectors).

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Lines of the opposite in a Rectangle

There room two currently of the opposite in a rectangle which cuts it right into two same halves. In a rectangle, the currently of symmetry are those present which join the midpoint of the opposite and also parallel currently (i.e. The bisector) of the rectangle.

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Lines of the contrary in a Rhombus

In a rhombus, the currently of symmetry room its diagonals. So, the number of symmetry present in a rhombus room two i.e. Its diagonals which divide it into two identical halves wherein each component is the mirror photo of the other.

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It should be provided that a number shows symmetry only when the heat of the opposite divides the number in a means that both the halves come to be the mirror image of each other. So, in a rectangle and a rhombus, the is checked out that the present of symmetry room not the exact same as that of the square.

In any type of figure, there deserve to be multiple present of symmetry. Thus, the is crucial to examine whether the lines of symmetry divide the number not only in equal parts but as mirror pictures also.

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Rotational the opposite in Parallelograms

Rotational the opposite is the symmetry wherein the figure retains its exact appearance after that is rotated approximately a center point. Various parallelograms have different orders the rotational symmetry i beg your pardon are stated below.


Order the Rotational the opposite in Parallelograms
Parallelogram NameOrder the Rotational SymmetryAngle that Rotation
Square490°, 180°, 270° and 360°
Rectangle2180° and 360°
Rhombus2180° and 360°

Frequently Asked concerns on present Of symmetry in a Parallelogram


What is a Parallelogram?