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Use the graph of △GHI and its image to answer the question.

Which sequence of transformations maps the points of △GHI onto △G′H′I′, showing that △GHI is similar to △G′H′I′?

A. Rotate △GHI 90∘ counterclockwise about the origin and dilate it by a factor of 13 through the origin.
B. Rotate △GHI 90∘ clockwise about the origin and dilate it by a factor of 32 through the origin.
C. Rotate △GHI 90∘ counterclockwise about the origin and dilate it by a factor of 23 through the origin.
D. Rotate △GHI 90∘ clockwise about the origin and dilate it by a factor of 23 through the origin.

Use the graph of GHI and its image to answer the question Which sequence of transformations maps the points of GHI onto GHI showing that GHI is similar to GHI A class=

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Answer:

  D. Rotate △GHI 90∘ clockwise about the origin and dilate it by a factor of 2/3 through the origin

Step-by-step explanation:

Segment HI points south, and segment H'I' points west, so a rotation of 90° clockwise is involved. (This eliminates choices A and C.)

The image is smaller than the original by a factor of 2/3, eliminating choice B and confirming choice D.

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