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G.1.17.2 How Did This Get There?

Use the tools to perform a translation that will take the original figure GHIJ onto the image G'H'I'J'. Describe the translation that will take the original figure onto the image.

Use the tools to perform a translation and then a rotation (in that order) that will take the original figure ABC onto the image A'B'C'. Describe the translation and rotation that will take the original figure onto the image.

Use the tools to perform a sequence of rigid transformations (a translation, then a rotation and then a reflection -- in that order) that will take the original figure RSTU onto the image R'S'T'U'. Describe the translation, rotation, and reflection that will take the original figure onto the image.

No question to do right here, just some new information about describing rotations:

Sometimes it isn't always necessary to use a specific angle measure when doing a rotation. Here is another way to describe a rotation: Rotate figure ABC about point A so that point C coincides with C'. (see picture below) (We would still need to do a reflection to finish this problem, but we're only concerned about the rotation phrasing for this example.)

Write a sequence of rigid transformations that will take figure VWXYZ onto the image V'W'X'Y'Z'. No tools this time, just imagine what the transformations would be. Describe the rotation in general terms (not a specific angle measure) like the previous example above.