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Transformations

Geometric Transformations

TermDefinition
Transformation An operation that moves or changes a geometric figure in some way to produce a new figure.
Image The new figure produced by a transformation. The sides are noted as primes.
Pre-image The image before any transformation occurs. Your “starting” image
Translation Moves every point of a figure the same distance in the same direction. Slide/shift left/right/up/down
Reflection Uses a line of reflection to create a mirror image of the original figure. Flip.
Rotation Turns a figure about a fixed point called the center of rotation. Spin/Turn.
Rigid Motion Preserves the size and shape of a figure. Corresponding angles and sides are congruent.
Dilation Stretches or shrinks a figure to create a similar figure. Is a type of similarity transformation and is not congruent, isometric, or rigid.
Similar Corresponding angles are congruent, corresponding sides are proportional.
Congruent Corresponding angles & sides are congruent.
Rule for reflection over y = x swap x & y
Rule for 90 CCW rotation swap x & y and change sign of original y
Rule for 180 CCW rotation change signs of x and y
Created by: mgalvin
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