Three of the most important transformations are:

Rotation rotation 2d Turn!
Reflection reflection on graph Flip!
Translation translation on graph Slide!


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After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.


The other important Transformation is Resizing (also called dilation, contraction, compression, enlargement or even expansion). The shape becomes bigger or smaller:

Resizing resize on graph

Congruent or Similar

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

When a Resize is neeeded for one shape to become another (we may also Turn, Flip and/or Slide) the two shapes are Similar

In other words:

When one shape becomes another ...       The shapes are ...
... using only Rotate, Reflect and/or Translate    right arrow  


... using a Resize (may also Rotate, Reflect
and/or Translate)
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