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describe a set of Transformations that will move triangle A on the graph below to match up with triangle B​

Describe A Set Of Transformations That Will Move Triangle A On The Graph Below To Match Up With Triangle B class=

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Sqdancefanidn

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Answer:

  • reflection over y = 2.5
  • translation left 1

Step-by-step explanation:

The orientation of the triangle is reversed, so a reflection is required. Horizontal lines remain horizontal, but up/down are reversed, so the reflection is across a horizontal line. The horizontal line that is halfway between each point and its image is the line y = 2.5.

The x-coordinates of the image points are 1 less than the x-coordinates of the original, so a left shift of 1 unit is involved.

The two transformations to get from A to B could be (in any order) ...

  1. reflection over the line y = 2.5
  2. translation left 1 unit

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The transformation can be summarized by ...

  (x, y) ⇒ (x -1, 5 -y)

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