“y-axis, x-axis, y-axis, x-axis” is the set of reflections among the following choices given in the question that would carry parallelogram ABCD onto itself.

## What set of reflections would carry ABCD onto itself?

The set of reflections that would carry rectangle ABCD back to itself is: y-axis, x-axis, y-axis, x-axis. By reflecting the original image over y-axis, the transformed image moves to the 1st quadrant of the cartesian plane.

## What set of reflections and rotations would carry rectangle ABCD onto itself Brainly?

“Reflect over the y-axis, reflect over the x-axis, rotate 180°” is the set of reflections and rotations among the choices given in the question that would carry rectangle ABCD onto itself.

## What set of transformations could be applied to rectangle ABCD to create ABCD?

The rectangle ABCD is reflected about y-axis and then rotated 180° to obtain A’B’C’D’. Hence, the second rectangle is formed by: Reflection over the y-axis and rotation of 180°.

## How do you carry a shape onto itself?

A shape has symmetry if it can be indistinguishable from its transformed image. A shape has rotation symmetry if there exists a rotation less than /begin{align*}360^/circ/end{align*} that carries the shape onto itself.

## Which transformation would map a rectangle onto itself?

SOLUTION: A figure in the plane has rotational symmetry if the figure can be mapped onto itself by a rotation between 0° and 360° about the center of the figure. The given figure has rotational symmetry. The number of times a figure maps onto itself as it rotates from 0° to 360° is called the order of symmetry.

## How do you map a parallelogram on its own?

A parallelogram has rotational symmetry of order 2. Thus, rotation transformation maps a parallelogram onto itself 2 times during a rotation of about its center. And that is at and about its center. Therefore, a 180° rotation about its center will always map a parallelogram onto itself .

24°

regular hexagon

## Which rotation will carry a hexagon onto itself?

Each subsequent rotation by 60° also maps a hexagon onto itself. There are 5 such rotations: by 60°, 120°, 180°, 240° and 300° (the next is 360° which isn’t allowed by the conditions). So the answer is 5.

rotations

## Which transformation carries the trapezoid onto itself?

only a rotation of 360° about any point will carry each trapezoid onto itself, the nonisosceles trapezoid has no lines of reflection, and the isosceles trapezoid has only one – the line that contains the midpoints of the two parallel sides.

## What are the angles of rotation for a regular pentagon?

The order of rotational symmetry of a regular pentagon is 5. The angle of rotation is 72º.