Transformations Stations
Table of Contents
- Transformation
- Definition
- Stations
- Transformation Station: Translation
- Transformation Station: Reflection
- Transformation Station: Rotation
Definition
A [b]transformation[/b] is a general term for specific ways to manipulate the [b]shape[/b] of a point, a line, or a geometric [b]shape[/b]. The [color=#222222]original [/color][b]shape[/b] of the object is called the pre-image and the final [b]shape[/b] and position of the object is the image under the [b]transformation[/b]. [br][br]A transformation is called an [b]isometry[/b] when the pre-image and image are congruent figures. Congruent figures are figures that are the same shape and size.[br][br]Today, you will be investigating [b]rigid transformations. [/b]Based on your findings, you should be able to determine which transformations (if any) would be an called an isometry. In addition, you should be able to determine various patterns or relationships that would assist you in performing various transformations on figures on a coordinate grid.
Transformation Station: Translation
Translation Station[br]1) Drag the x around[br]2) Change the points A, B, and C.[br][br]Questions[br]1) What do you notice about the size and shape of the pre-image compared to the image?[br]2) Consider the coordinates of the pre-image and image. Do you notice any pattern or relationship?[br][br]Conclusion:[br]How could you describe the transformation with precision? What would you need to include?