Transformations

Standard

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Translation

      Slide!

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Translation rule

Reflection

      Flip!

 Click here to get your Reflection on!

Click here to make some reflection art!!!

Reflections Rule

Rotation

 Turn Around!

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Rotation Rule

After any of these transformations (turn around, flip or slide), the shape still has the same size, area, angles and line lengths.  In all these transformations congruence is preserved.

Congruent or Similar

If one shape can become another using only Turns, Flips and/or Slides, then the two shapes are called Congruent.

Two shapes are Similar if you need to Resize for one shape to become another (you may also Turn, Flip and/or Slide).

Dilation

The other important Transformation is Dilation (also called reduction or enlargement). The new image becomes bigger or smaller.

Dilation

  Enlarge or Reduce

Click here to get your Dilation on!

Dilations Rule

So, if one shape can become another using transformation, the two shapes are either Congruent or  Similar.

If one shape is transformed… The image is ____ to the original.
… using only Rotate, Reflect and/or Translate

Congruent

… using a Dilation (may also Rotate, Reflect
and/or Translate)

Similar