IM Geo.1.17 Lesson: Working with Rigid Transformations

Segment CD is the perpendicular bisector of segment AB.
[size=150]Find each transformation mentally.[/size][br][img]data:image/png;base64,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[/img][br]A transformation that takes [math]A[/math] to [math]B[/math].
A transformation that takes [math]B[/math] to [math]A[/math].
A transformation that takes [math]C[/math] to [math]D[/math].
A transformation that takes [math]D[/math] to [math]C[/math].
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.
[size=150]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.[/size][br][img]data:image/png;base64,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[/img][br]For each rigid transformation from the card sort, write the transformation as a single reflection, rotation, or translation.[br]
Justify why Priya’s transformation cannot be written as a single reflection, rotation, or translation.[br]
[size=150]Diego says, “I see why a reflection could take [math]RSTU[/math] to [math]R'S'T'U'[/math], but I’m not sure where the line of reflection is. I’ll just guess.”[/size][br][br]How could Diego see that a reflection could work without knowing where the line of reflection is?[br]
How could Diego find an exact line of reflection that would work?[br]
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Information: IM Geo.1.17 Lesson: Working with Rigid Transformations