Three of the most important transformations are:
| Rotation |  | Turn! |
|---|---|---|
| Reflection |  | Flip! |
| Translation |  | Slide! |
After any of those transformations (turn, flip or slide), the shape still has the same size, area, angles and line lengths.
Resizing
The other important Transformation is Resizing (also called dilation, contraction, compression, enlargement or even expansion). The shape becomes bigger or smaller:
| Resizing |  |
|---|
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 |  | Congruent | ||
| ... using a Resize (may also Rotate, Reflect and/or Translate) | | Similar |
