Image.
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.
A figure resulting from a transformation is called an IMAGE
It is called the IMAGE
It is called an image.
IMAGE
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.
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.
A transformation that shifts all the points in a plane figure without altering the shape of the figure is called a "translation." During a translation, each point of the figure moves the same distance in a specified direction, resulting in a congruent figure in a new position. This operation maintains the figure's size, shape, and orientation.
The input of a transformation on the coordinate plane is called the "preimage." The preimage is the original figure before any transformation, such as translation, rotation, reflection, or dilation, is applied to it. After the transformation, the resulting figure is referred to as the "image."
translation
In the context of transformations, a point that does not move is often referred to as a fixed point. This means that when a transformation, such as rotation, reflection, or translation, is applied, the fixed point remains unchanged in its position. Fixed points are important in understanding the behavior of various transformations and can serve as reference points for analyzing the effects of the transformation on other points in the space.
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.