Lines of the contrary in a parallelogram vary from type to type. In basic words, the parallelogram lines that symmetry describe the present which cut the parallelogram right into two similar parts. To recall, a parallel is a quadrilateral (4-sided figure) whereby the opposite sides space parallel to every other.

You are watching: Do parallelograms have diagonals that are lines of symmetry

## What are the currently of symmetry in Parallelograms?

The lines of symmetry are those lines which division a parallelogram into two halves wherein each half is the mirror image of the other. Different parallelograms have different lines of symmetry and the different variety of symmetry lines.

Symmetry present in Parallelograms

Parallelogram Name | Number of the contrary Lines |

Square | 4 |

Rectangle | 2 |

Rhombus | 2 |

There space three varieties of a parallel whose number of symmetry currently are offered in the previously mentioned table. Listed below are the explanations ~ above the present of the contrary in every of these parallelograms.

### Lines of the contrary in a Square

In a square, over there are 4 lines of symmetry, each of which divides it right into two identical parts. The symmetry lines of a square space both its diagonals and also the lines joining the midpoints that its opposite sides (bisectors).

### Lines of symmetry in a Rectangle

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

### Lines of the contrary in a Rhombus

In a rhombus, the present of symmetry space its diagonals. So, the variety of symmetry present in a rhombus are two i.e. Its diagonals which divide it right into two the same halves where each component is the mirror photo of the other.

It need to be noted that a figure shows the opposite only as soon as the line of symmetry divides the number in a method that both the halves come to be the mirror image of every other. So, in a rectangle and also a rhombus, it is viewed that the currently of symmetry are not the same as that of the square.

In any type of figure, there deserve to be multiple lines of symmetry. Thus, that is crucial to check whether the present of symmetry division the figure not just in same parts however as mirror pictures also.

See more: 35 Kilos Is How Many Pounds, Convert 35 Kilograms To Pounds

## Rotational symmetry in Parallelograms

Rotational symmetry is the symmetry wherein the number retains its specific appearance after the is rotated around a centre point. Various parallelograms have different orders that rotational symmetry which are stated below.

Order that Rotational the opposite in Parallelograms

Parallelogram Name | Order the Rotational Symmetry | Angle that Rotation |

Square | 4 | 90°, 180°, 270° and also 360° |

Rectangle | 2 | 180° and 360° |

Rhombus | 2 | 180° and 360° |