IM Geo.1.18 Lesson: Practicing Point by Point Transformations
What do you notice? What do you wonder?
For each diagram, find a sequence of translations and rotations that take the original figure to the image, so that if done physically, the figure would not touch any of the solid obstacles and would not leave the diagram. Test your sequence by drawing the image of each step.
Take ABC to DEF.
Take GHI to JKL.
Create your own obstacle course with an original figure, an image, and at least one obstacle. Make sure it is possible to solve. Challenge a partner to solve your obstacle course.
For each question:
Describe a sequence of translations, rotations, and reflections that will take parallelogram to parallelogram .
Describe a sequence of translations, rotations, and reflections that will take parallelogram to parallelogram .
In this unit, we have been focusing on rigid transformations in two dimensions. By thinking carefully about precise definitions, we can extend many of these ideas into three dimensions. How could you define rotations, reflections, and translations in three dimensions?