They change the orientation.
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!In its normal orientation the parallel sides of a trapezium are horizontal. In that case it will have no perpendicular lines. But turn the figure through 90 degrees and it has two!
Because a reflection reverses the direction of the component of the wave vector of the light hitting the reflecting surface which is orthogonal to the surface. The component parallel to the surface will not change. This means the light going towards a mirror, will go away from the mirror after reflection. But if it went from the left to the right, it will continue to go from the left to the right. Same with up and down. In three dimensions this is the same as changing the handedness of the image.
A rotation is a transformations when a figure is turned around a point called the point of rotation. The image has the same lengths and angle measures, and differs only in position. Rotations that are counterclockwise are rotations of positive angles. All rotations are assumed to be about the origin. R90 deg (x, y) = (-y, x) R180 deg (x, y) = (-x, -y) R270 deg (x, y) = (y, -x) R360 deg (x, y) = (x, y)
Missing diagram.
Transformations that preserve the orientation of the image relative to the preimage include translations, rotations, and dilations. These transformations maintain the order of points and the overall direction of the figure. In contrast, reflections and certain types of glide reflections change the orientation, resulting in a mirror image. Therefore, only translations, rotations, and dilations keep the same orientation as the original figure.
A transformation that changes the orientation of a figure is called a reflection. In a reflection, the figure is flipped over a line, known as the line of reflection, resulting in a mirror image that has a reversed orientation. Other transformations, such as rotations and translations, do not change the orientation of the figure.
Rotation, in the plane of the grid, through 180 degrees.
Reflections, translations, rotations.
A rigid transformation that does not result in a reversed orientation of the original image is a translation or a rotation. Both transformations preserve the orientation of the figure, meaning that the shape and arrangement of points remain unchanged. In contrast, a reflection is the rigid transformation that reverses the orientation.
It's a transformation that's order of the letters like ABCD of a figure don't change when transformed.
A transformation that does not produce a congruent image is a dilation. While dilations change the size of a figure, they maintain the shape, meaning the resulting image is similar but not congruent to the original. In contrast, transformations such as translations, rotations, and reflections preserve both size and shape, resulting in congruent images.
The term that describes a transformation that does not change a figure's size or shape is "isometry." Isometric transformations include translations, rotations, and reflections, which maintain the original dimensions and angles of the figure. As a result, the pre-image and image of the transformation are congruent.
A figure can be transformed through translations, rotations, reflections, and dilations.Translations involve moving the figure in a certain direction without rotating or flipping it. Rotations involve turning the figure around a point. Reflections involve flipping the figure over a line. Dilation involves resizing the figure proportionally.
A dilation is not a basic rigid motion because it alters the size of a figure while maintaining its shape, rather than preserving distances between points. Rigid motions, such as translations, rotations, and reflections, only change the position or orientation of a figure without affecting its dimensions. In contrast, dilations involve scaling, which can either enlarge or reduce a figure, thus not satisfying the criteria of preserving lengths and angles.
A rectangle is one of them
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