Transformations
These are Transformations:
| 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.
Two shapes are Similar when we need to Resize for one shape to become another (we may also Turn, Flip and/or Slide).
So, when one shape can become another using transformation, the two shapes might be Congruent or just Similar
| 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 |