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What are the 4 types of transformations?
There are four main types of transformations: translation, rotation, reflection and dilation.
What are the basic transformations?
There are three basic rigid transformations: reflections, rotations, and translations. Reflections reflect the shape across a line which is given. Rotations rotate a shape around a center point which is given. Translations slide or move a shape from one place to another.
What is a mathematical transformation?
Transformation involves moving an object from its original position to a new position. The object in the new position is called the image. Each point in the object is mapped to another point in the image. The following figures show the four types of transformations: Translation, Reflection, Rotation, and Dilation.
How do you know the order of transformations?
Vertical Shifts. Horizontal Shifts. Reflection about the x-axis. Reflection about the y-axis. Vertical shifting or stretching. Horizontal shifting or stretching.
What is the sequence of transformations?
When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations. Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed.
What is a sequence of rigid transformations?
Reflections, translations, rotations, and combinations of these three transformations are “rigid transformations”. A reflection is called a rigid transformation or isometry because the image is the same size and shape as the preimage.
Does order matter in transformations?
When combining horizontal transformations written in the form f(bx+h) f (b x + h) , first horizontally shift by h and then horizontally stretch by 1b. Horizontal and vertical transformations are independent. It does not matter whether horizontal or vertical transformations are performed first.
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