A parallel is a type of quadrilateral where the the contrary sides room parallel and also equal. The imaginaryline so created along i beg your pardon you deserve to fold a number to achieve the symmetry halves is referred to as the line of symmetry. Thus, the present of the contrary ofa parallelogram describe the lines cut the parallelogram into two identical parts. Also, the currently of symmetry in a parallel varyas every the kind of parallelogram.

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 1 What AreLines of the opposite in a Parallelogram? 2 Symmetry present in various Parallelograms 3 Rotational the opposite of a Parallelogram 4 Solved ExamplesonLines of the contrary in a Parallelogram 5 Practice QuestionsonLines of symmetry in a Parallelogram 6 FAQs onLines of symmetry in a Parallelogram

What AreLines of symmetry in a Parallelogram?

The currently of the opposite in a parallelogram are those present that division a parallelogram right into two halves such thateach fifty percent is the mirror image of the other. We recognize that over there are various parallelograms categorized as per their shapes, the linesegments, and also corners castle are made up of. Thus, these have different lines of symmetry and different number of symmetry lines. Wecan find whether a shape is symmetry by folding it and also checking for theLine of Symmetry. Ifthe folded component sits perfectly on top, v all edges and also corners matching, climate the folded line representsa line of Symmetry and also that shape is symmetrical either follow me its length, breadth, or diagonals. Let's examine for the currently of the contrary in a general parallelogram:

From the above figure, we deserve to observe that:

There is no lineof the contrary of a parallelogramalong the length, breadth. Over there is no superimposition of one half on the other as soon as folded follow me its half.The diagonals room not symmetrical. This is because, as soon as we fold the parallelogramalong the diagonal line, we perform not acquire the same shape as 2 halves.

Thus, the parallelograms have no lines of symmetry buttheyhave rotational symmetry at 180°, around the center.

Symmetry lines in various Parallelograms

Different parallelograms room varied in their shape and also so perform their present of symmetry.

Let's examine them in detail.

ParallelogramNumber of the contrary linesSymmetry lines
Square4Both the diagonals and the lines joining the midpoints the its the opposite sides, that is the bisectors.
Rectangle2The linesjoining the midpoint the the opposite and parallel lines (i.e. The bisector) that the rectangle.
Rhombus2Both the diagonalsdividingit right into two identical halves.

Rotational the contrary of a Parallelogram

Rotational symmetry is when an object is rotated in a particular direction, that too approximately a point. So, as soon as a form is turned, and the shape is similar to the origin, rotational symmetry persists.The number retains its exact appearance after it is rotated, approximately a facility point. A parallelogram has actually zero or noline that symmetry. As per the order is concerned, it has rotational symmetry of stimulate 2.

Different parallelograms have various orders of rotational symmetry:

Square - 4 - 90°, 180°, 270°, 360°Rectangle - 2 - 180°, 360°Rhombus - 2 - 180°, 360°

Important Notes

In Mathematics, symmetry exist whenone shape is similar to the various other shape as soon as it is moved, rotated, or flipped.When ashape or picture looks exactly similar to the initial shape or photo after part rotation, that's rotational symmetry.An object and its photo are symmetrical with reference to its winter line.

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Solved ExamplesonLines of the contrary in a Parallelogram

Example 1:What space the angle at which a parallelogramhas rotational symmetry?

Solution:

When a form is turned, and also the form is still identical to the origin, climate it can be claimed that it shows rotational symmetry. So, ifthe figure retains its specific appearance after the is rotated, roughly a center point. Thus, we have the right to saythat aparallelogram showsa rotational symmetry in ~ 180°.

Example 2: inspect for the present of the opposite in a rhombus.

Solution:

We know that a rhombus has 4 equal sides yet what around diagonals? space the diagonals also equal in length? The diagonals the a rhombus intersect at same angles and thus makes four equal parts as soon as folded follow me the lines of symmetry. Therefore, arhombus has actually two lines of symmetry.

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Practice questions on lines of the contrary in a Parallelogram

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FAQsonLines of the opposite in a Parallelogram

Are there any Lines of the contrary in a Parallelogram?

A general parallelogram has no lineof symmetry butdifferent parallelograms, together asrectangle, square, or rhombus have actually lines of symmetry.

What Is a general Parallelogram?

In Euclidean geometry, a parallelogram is a quadrilateral v two bag of parallel sides v the opposite political parties being equal in length and also the opposite angle being same in measure.

Which Parallelogram has the MaximumNumber of the contrary Lines?

A square has actually 4 lines ofsymmetry the is the maximum among all various other parallelogram types.

What space the Symmetry present in various Parallelograms?

The different parallelograms have actually a different number of symmetry lines

A Square has actually symmetry lines follow me thediagonals, bisectors of the contrary sidesA Rectangle has symmetry lines along thebisectors of the opposite sidesA Rhombus has symmetry lines along thediagonals.

See more: One Quart Equals How Many Oz In A Quart: Perfect Measuring » Recipefairy

How numerous Lines of Symmetry does An Irregular square Have?

An rarely often rare quadrilateral has no present of Symmetry.

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