Similarity and Transformations

Chapter 2 lesson 3

Definitions

Transformation - moving a shape so that it is in a different position, but still has the same sides, areas, angles, and line lenghts.

Translation - the process of moving something from one place to another

Rotation - the action of rotating a figure around the axis or center.

Dilation - a transformation that either enlarges or reduces a figure by a scale factor.

Similar - having corresponding angles and corresponding line segment.

Example

         You have two triangles. Triangle ABC  and triangle A'B'C'. Triangle ABC is bigger then triangle A'B'C'. This means that they triangle ABC was dilated by a fraction.

          You have two rectangles. Rectangle DEF and rectangle D'E'F'. Rectangle DEF is in quadrant 1 and rectangle D'E'F' is in quadrant 2. This means that the rectangles were either reflected over the x or y axis or it was rotated by either 90 degrees, 180 degrees, or 270 degrees.

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