Transformations

Figures that have the same size and shape. Figures that are reflected, rotated, or translated are congruent

The original object given. The FIRST or OLD figure.

Symbolic representation given to images as a result of a transformation. If P is the original, P&#039; (P prime) is the object after one transformation

A copy of the original: Example: A&#039; is a copy of A
The SECOND or NEW figure.

To SLide a figure.
The SLIDE does not change the size, orientation (the way it faces), or shape of the image. 
The image is congruent to the original.

(x, y) → (x + k, y + k)
K is a real (any) number

A translation can either effect only one value, for example the point can only slide up 2 units and only affect the y value (x, y+2) or the translation can affect both the x and y value, for example the point can slide up 2 units and to the left 3 units (x-3, y+2).

To FLip a figure.
When a figure is facing itself. The distance from the reflection line is equal in the pre-image (original) and the image (new) when a reflection has taken place.

The FLIP does not change the size, or shape of the image, but does change the orientation. 
The image is congruent to the original.

(x, y) → (x, - y)
x stays same; y changes sign

(x, y) → (- x, y)
x changes sign; y stays the same

Rules for transformations of geometric shapes on a coordinate plane Learn with flashcards, games, and more — for free.

Transformations Flashcards

Rules for transformations of geometric shapes on a coordinate plane

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