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Sequence of Transformations

Sequence of Transformations

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

A sequence of transformations is a set of two or more transformations applied in a specific order to a figure on the coordinate plane.

Key Points:

  • Each transformation is performed on the result of the previous one.

  • The sequence can include translations, reflections, rotations, and dilations.

  • The order matters — changing the order can lead to a different final image.

  • A sequence can also be called a composition of transformations.

Example:

If a triangle is rotated 90°, then reflected over a line, the result is different than if you reflect first and then rotate. This is a sequence of two transformations.


A six sided figure and two images after two transformations. The figure is rotated and then reflected.
A six sided figure and two images after two transformations. The figure is reflected and then rotated.

Video


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