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What transformation does not preserve distance and angle measure?

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.


What is a type of transformation where an original figure is flipped over a line onto its image?

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.


What is The original figure in a transformation?

It is the figure before any transformation was applied to it.


What is a transformation that creates a mirror image of the original image?

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.


What is the original figure before a transformation?

Preimage


What is the definition of geometric translation?

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).


What is the transformation called when you flip a figure in a mirror line?

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.


The shape of an object before a transformation?

Original or unformed


The original figure in a transformation?

What is a preimage. (The new figure is called the image.)


What is The movement of a figure from it original position to its new position?

transformation Displacement


What type of transformation can change the size of an image from the original figure?

Dilation.


When you perform a transformation of a figure on the coordinate plane What is the input of the transformation called?

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."