the answer is translation
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
The new figure after a transformation is the result of applying specific changes to the original shape, such as translation, rotation, reflection, or scaling. Each transformation alters the figure's position, orientation, or size while maintaining its fundamental properties. To determine the coordinates or characteristics of the new figure, one must apply the transformation rules to the original figure's vertices or points accordingly. The resulting figure can vary in appearance but retains the same overall structure and proportions as the original.
A rigid motion is a transformation in geometry that preserves the shape and size of a figure. This means that distances between points and angles remain unchanged during the transformation. Common types of rigid motions include translations, rotations, and reflections. Since the original figure and its transformed image are congruent, rigid motions do not alter the overall structure of the figure.
When the coordinates of a figure are added, the figure is translated or shifted in the coordinate plane. For example, if you add a constant value to each coordinate of the figure's points, it moves uniformly in the direction of that value. This transformation does not change the shape, size, or orientation of the figure; it simply relocates it to a different position.
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.
Its called points maybe
The original figure is called the pre-image. After the transformation it becomes the image.
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
translation
A rigid motion is a transformation in geometry that preserves the shape and size of a figure. This means that distances between points and angles remain unchanged during the transformation. Common types of rigid motions include translations, rotations, and reflections. Since the original figure and its transformed image are congruent, rigid motions do not alter the overall structure of the figure.
Invariants are points that remain the same under certain transformations. You could plug the points into your transformation and note that what does in is the same as what comes out. The details depend on the transformation.
When the coordinates of a figure are added, the figure is translated or shifted in the coordinate plane. For example, if you add a constant value to each coordinate of the figure's points, it moves uniformly in the direction of that value. This transformation does not change the shape, size, or orientation of the figure; it simply relocates it to a different position.
Image.
In a convex figure, if you pick any two points, the points between them are also a part of the figure.
Formula transformation is usually used to transform a shape or a set of points to another shape or set of points. It is a set of instructions on how to adjust a given shape or point.
translation
Rotation transformations move all points in a plane around a fixed point, known as the center of rotation, by a specified angle. Every point is rotated to a new position, maintaining the same distance from the center, resulting in a consistent change in the orientation of the shape or object. This transformation preserves the shape and size while altering its position.