Answer:
1)
Any image in a plane could be altered by using different operations, or transformations. Here are the most common types:
- Translation is when we slide a figure in any direction.
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Reflection is when we flip a figure over a line.
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Rotation is when we rotate a figure a certain degree around a point.
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Dilation is when we enlarge or reduce a figure.
2)
Transformations map one set of points onto another set of points, generally with the purpose of changing the position, size, and/or shape of the figure made up by the first set of points. The first set of points, from the domain of the transformation, is called the set of pre-images, whereas the second set of points, from the range of the transformation, is called the set of images. Therefore, a transformation maps each pre-image point to its image point.
3)
- A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.
Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".
- non-rigid transformations that change the size but not the shape of the preimage.
example is dilation.
