Reflection
Preimage
Original or unformed
An enlargement but the angle sizes will remain the same.
The original figure is called the pre-image. After the transformation it becomes the image.
An isometry is a transformation in which the original figure and its image are congruent. Shape remains constant as size increases.
A transformation that does not preserve distance and angle measures is a non-rigid transformation, such as a dilation or a shear transformation. In a dilation, the distances from a center point are scaled, changing the size of the figure but not maintaining the original shape. In a shear transformation, the shape is distorted by slanting it in one direction, altering both distances and angles between points. These transformations result in figures that are not congruent to their original form.
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.
It is the figure before any transformation was applied to it.
A transformation that creates a mirror image of the original image is called a reflection. This transformation flips the image across a line called the axis of reflection, creating a mirror image that is a flipped version of the original.
Preimage
Geometric translation is a transformation that moves every point of a geometric figure a constant distance in a specified direction. This process preserves the shape and size of the figure, meaning that the translated figure is congruent to the original. In mathematical terms, if a point is represented as (x, y), after translation by a vector (a, b), the new position of the point becomes (x + a, y + b).
The transformation is called a reflection. In a reflection, each point of the figure is mapped to a corresponding point on the opposite side of the mirror line, maintaining the same distance from the line. This creates a mirror image of the original figure.
Original or unformed
What is a preimage. (The new figure is called the image.)
transformation Displacement
Dilation.
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."