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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.
Is rotation always creates a congruent image to the original figure?
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
What is the original figure in the transformation of figure in a plane?
The original figure in a transformation of a figure in a plane is referred to as the "pre-image." It is the shape or object before any transformations, such as translations, rotations, reflections, or dilations, are applied. The resulting shape after the transformation is called the "image." Understanding the relationship between the pre-image and the image is essential in geometry.
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.
When a transformation is applied to a figure and then another transformation is applied to its image?
When a transformation is applied to a figure, the result is a new image of that figure. If a second transformation is then applied to this image, the overall effect is a combination of both transformations on the original figure. This sequence can lead to various outcomes, depending on the types of transformations used (such as translation, rotation, reflection, or dilation) and their order. The final image will reflect the cumulative effect of both transformations on the original figure.
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 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.
When you change coordinates of points of a figure to get another figure the original figure is called what?
The original figure is called the pre-image. After the transformation it becomes the image.
Is rotation always creates a congruent image to the original figure?
Figures are congruent if and only if they are related by a translation, reflection, or rotation, or some combination of these transformations.
What is definition of image in math?
The figure that results from some transformation of a figure. It is often of interest to consider what is the same and what is different about a figure and its image EX: original Image
The original figure in a transformation?
What is a preimage. (The new figure is called the image.)
A mapping for which the original figure and its image are congruent?
Isometry
Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
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.
What math term means copy of an original figure?
Image
What type of transformation can change the size of an image from the original figure?
Dilation.
Why under transformation a figure is always congruent to its image?
A figure is always congruent to its image under transformation because congruence means that the two figures have the same shape and size. Transformations such as translations, rotations, and reflections preserve the lengths of sides and the measures of angles, ensuring that the original figure and its image maintain their geometric properties. Therefore, any transformation applied will result in an image that is congruent to the original figure.
