The geometric transformation of an image refers to the mathematical manipulation of its spatial properties, altering its position, size, orientation, or shape. Common transformations include translation (shifting the image), scaling (changing its size), rotation (turning it around a point), and shearing (slanting the image). These transformations can be represented using matrices, allowing for efficient computation and application in graphics, image processing, and computer vision. Ultimately, they enable the modification and analysis of images in various applications.
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.
True. An isometry is a transformation that preserves distances and angles, meaning that the preimage and image are congruent. Examples of isometries include translations, rotations, and reflections, all of which maintain the shape and size of geometric figures.
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
congruence transformation
It is called "image".
Dilations are a geometric transformation that results in the image being similar to the preimage.
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.
True. An isometry is a transformation that preserves distances and angles, meaning that the preimage and image are congruent. Examples of isometries include translations, rotations, and reflections, all of which maintain the shape and size of geometric figures.
reflection!!
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
list all out of geomatric transformation
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Horizontal reflection.
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.
It is called an image.
It is the image from the transformation.
congruence transformation