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Line segment CD begins at (−1,1) and ends at (4,1). The segment is translated 2 units down to form line segment C'D'. Line segment C'D' begins at (−1,−1). Enter the coordinates for the end of line segment C'D'. ( , )

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sqdancefan

Answer:

  D' = (4, -1)

Step-by-step explanation:

Translation down by 2 units subtracts 2 from the y-coordinate. The x-coordinate remains unchanged. You can see this in the descriptions of C and C':

  • C = (-1, 1)
  • C' = (-1, -1) . . . . . 2 is subtracted from y=1 to get y=-1

Likewise:

  • D = (4, 1)
  • D' = (4, -1)

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The translated segment is still a horizontal segment, now at y=-1 instead of at its previous position of y=1.

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