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.
The new resulting figure after transformation depends on the specific type of transformation applied, such as translation, rotation, reflection, or scaling. Each transformation alters the original figure's position, orientation, or size while maintaining its fundamental shape and properties. To determine the exact resulting figure, details about the transformation parameters and the original figure are necessary. Without that information, it's impossible to specify the new figure accurately.
The transformation where a figure is slid from one position to another without being turned is called a translation. In a translation, every point of the figure moves the same distance and in the same direction. This type of transformation preserves the shape and size of the figure, maintaining its orientation throughout the movement.
A rotation
Translation.
A rotation is the type of transformation that turns a figure around a fixed point, known as the center of rotation. During a rotation, every point of the figure moves in a circular path around this fixed point by a specified angle. The distance from the center to any point on the figure remains constant throughout the transformation.
The new resulting figure after transformation depends on the specific type of transformation applied, such as translation, rotation, reflection, or scaling. Each transformation alters the original figure's position, orientation, or size while maintaining its fundamental shape and properties. To determine the exact resulting figure, details about the transformation parameters and the original figure are necessary. Without that information, it's impossible to specify the new figure accurately.
The transformation where a figure is slid from one position to another without being turned is called a translation. In a translation, every point of the figure moves the same distance and in the same direction. This type of transformation preserves the shape and size of the figure, maintaining its orientation throughout the movement.
A rotation is a transformation that turns an object around a fixed point. It changes the orientation of the object without changing its shape or size. Rotations are a type of transformation that can be applied to objects in geometry to change their position or direction.
A rotation
Translation.
Dilation.
A rotation is the type of transformation that turns a figure around a fixed point, known as the center of rotation. During a rotation, every point of the figure moves in a circular path around this fixed point by a specified angle. The distance from the center to any point on the figure remains constant throughout the transformation.
Horizontally
Axial reflection is a type of transformation in geometry where a figure is reflected over an axis. The axis of reflection is a line that remains fixed while the rest of the figure is mirrored across it. This transformation preserves the size and shape of the figure.
The transformation in which the preimage and its image are congruent is called a rigid transformation or isometry. This type of transformation preserves distances and angles, meaning that the shape and size of the figure remain unchanged. Common examples include translations, rotations, and reflections. As a result, the original figure and its transformed version are congruent.
A type of transformation where an original figure is flipped over a line onto its image is called reflection. In this process, each point of the original figure is mapped to a corresponding point on the opposite side of the line, maintaining equal distance from the line of reflection. This creates a mirror image of the original figure.
An enlargement. In general, a non-linear transformation.