IM Geo.1.17 Lesson: Working with Rigid Transformations
Segment CD is the perpendicular bisector of segment AB.
Find each transformation mentally.
A transformation that takes to .
A transformation that takes to .
A transformation that takes to .
A transformation that takes to .
Sort the cards into categories of your choosing. Be prepared to explain the meaning of your categories.
Then sort the cards into categories in a different way. Be prepared to explain the meaning of your new categories.
For each card with a rigid transformation: write a sequence of rotations, translations, and reflections to get from the original figure to the image. Be precise.
Diego observes that although it was often easier to use a sequence of reflections, rotations, and translations to describe the rigid transformations in the cards, each of them could be done with just a single reflection, rotation, or translation. However, Priya draws her own card, shown, which she claims can not be done as a single reflection, rotation, or translation.
For each rigid transformation from the card sort, write the transformation as a single reflection, rotation, or translation.
Justify why Priya’s transformation cannot be written as a single reflection, rotation, or translation.
Diego says, “I see why a reflection could take to , but I’m not sure where the line of reflection is. I’ll just guess.” How could Diego see that a reflection could work without knowing where the line of reflection is?
How could Diego find an exact line of reflection that would work?