# Which transformation will always map a parallelogram onto itself? (2024)

## Which transformation will always map a parallelogram onto itself?

ANSWER: rotational symmetry; the rotation of 180 degrees around the point (1, -1.5) maps the parallelogram onto itself.

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## What transformation will map an image onto itself?

Reflection: Flipping a point, line, or shape over a line. To map onto itself, a regular polygon would have to be reflected over a line of symmetry.

(Video) Mapping a Figure onto Itself
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## Which transformation carries the trapezoid onto itself?

It is apparent that we can have a line of reflection that maps a trapezoid onto itself, only when the trapezoid has the two non-parallel sides are equal in length and angles they make with any of the parallel sides too are equal (in fact the first condition in a trapezium leads to second) i.e. an isosceles trapezoid.

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## What number of degrees you can rotate the parallelogram to carry it onto itself if possible?

a 180° rotation about its center D.

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## What does it mean to carry a shape onto itself?

A shape has reflection symmetry if there exists a line of reflection that carries the shape onto itself. This line of reflection is called a line of symmetry. In other words, if you can reflect a shape across a line and the shape looks like it never moved, it has reflection symmetry.

(Video) Determinant and area of a parallelogram | Matrix transformations | Linear Algebra | Khan Academy

## What rotation will map a rectangle onto itself?

Assuming the rectangle is not a square, a rotation of 180º, -180º, 360º, -360º will rotate the rectangle back onto itself. If you want to consider angles beyond 360º, any rotation of k(180º) where k is an integer will work.

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## Which transformation maps the Pentagon to itself?

A reflection across any of the 5 lines of symmetry maps the pentagon to itself. For transformation rotate 144° about the point (0, -2). Therefore, the transformation 144° maps the regular pentagon with a center (0, -2) onto itself.

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## Can a trapezoid be mapped onto itself?

It is apparent that we can have a line of reflection that maps a trapezoid onto itself, only when the trapezoid has the two non-parallel sides are equal in length and angles they make with any of the parallel sides too are equal (in fact the first condition in a trapezium leads to second) i.e. an isosceles trapezoid.

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## Which transformation will carry the shape onto itself?

A figure that maps onto itself when it is reflected over a line has reflectional symmetry. A figure that maps onto itself when it is rotated about its center by an angle measuring less than 360° has rotational symmetry.

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## What type of symmetry in which a shape can be turned to fit onto itself?

Rotational symmetry is the number of times a shape can “fit into itself” when it is rotated 360 360 degrees about its centre. E.g. A rectangle has a rotational symmetry of order 2 shown below where one vertex is highlighted with a circle and the centre of the shape is indicated with an. 'x'.

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## Which figure always has exactly four lines of reflection that maps the figure onto itself?

A square is an example of a shape with reflection symmetry. In a square, all sides are congruent and each angle is a right angle. There are four lines of reflection that carry the square onto itself. These lines of reflection will always be the lines of symmetry.

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(Mr. Robinson's Virtual Math Classroom)

## Do all parallelograms have 180 degree rotational symmetry?

The diagonals are not symmetrical in any way. This is because folding the parallelogram along the diagonal line does not result in the same shape as two halves. Thus, parallelograms lack lines of symmetry but have rotational symmetry at 180° about the center.

## Do parallelograms have 180 degree rotation?

A parallelogram has rotational symmetry when rotated 180º about its center. A parallelogram has no reflectional symmetry. These sides coincide after the rotation, so we can observe that AD = CB and AB = CD.

## What transformation takes the figure back to itself?

A Plane figure has rotational symmetry of a certain order if the plane figure maps on to itself under a rotation through some angle about the center. All plane figure has rotational symmetry of order 1. Since a rotation of 360 degrees about its center will map the figure back to itself.

## What rotations and reflections that carry it onto itself?

A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line segment that connects non-consecutive vertices of the polygon.

## Which line of reflection will carry the figure onto itself?

A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line segment that connects non-consecutive vertices of the polygon.

## Do rotations of 360 map a figure to itself?

A rotation of 360° maps a figure onto itself. You can use coordinate rules to find the coordinates of a point after a rotation of 90°, 180°, or 270° about the origin. You can rotate a figure more than 360°.

## Which figure can map onto itself with a 90 rotation?

Rotations of 90 ∘ , 180 ∘ , and in either direction will all cause the square to be carried onto itself.

## What rotation will map a hexagon onto itself?

A regular hexagon can be mapped onto itself by a clockwise or counterclockwise rotation of 60°, 120°, or 180° about its center.

## What is an isometry that maps the figure onto itself?

A figure has symmetry if there is an isometry that maps the figure onto itself. Reflectional symmetry or line symmetry is the type of symmetry for which there is a reflection that maps a figure onto itself. The reflection line is the line of symmetry.

## Is there only one transformation that will map one circle onto another?

True - Is there always a similarity transformation that will map one circle onto another. Similarity is determined by ratio of radii.

## What translations carry a decagon onto itself?

The answer is any multiple of 36. Step-by-step explanation: A decagon has 10 sides, and it has 10 exterior angles of 36° as can be seen in the picture. Therefore, by rotating the decagon about its center by multiples of 36° will carry a regular decagon onto itself.

## Is a regular octagon mapped onto itself every time it is rotated?

To rotate the Octagon onto itself, we have to rotate each of those sides to an adjacent side. That is (1/8)th of a full-circle turn. A circle has 360° and (1/8)360° = 45°. A 45° rotation counterclockwise puts each of the edges over the position where an adjacent edge was located.

## Which two transformations carry the square onto itself?

A square is carried onto itself by a reflection over one of its sides, a rotation of 180 degrees clockwise about the square's center, or a rotation of 180 degrees clockwise about one of the square's vertices.

## What shape has 180 degree rotational symmetry?

Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples are square, circle, hexagon, etc.

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