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if rectangle abdc is translated horizontoally -1 and vertically +3, which of the following correctly depcits rectangle A' B' D' C?

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To determine the positions of the translated rectangle A'B'D'C, you need to apply the translation to each vertex of the original rectangle ABCD.

  1. Horizontal translation: -1 means you subtract 1 from the x-coordinates of each vertex.
  2. Vertical translation: +3 means you add 3 to the y-coordinates of each vertex.

Let's assume the coordinates of rectangle ABCD are:

  • A(x1, y1)
  • B(x2, y2)
  • C(x3, y3)
  • D(x4, y4)

After applying the translations, the new coordinates will be:

  • A' = (x1 - 1, y1 + 3)
  • B' = (x2 - 1, y2 + 3)
  • C' = (x3 - 1, y3 + 3)
  • D' = (x4 - 1, y4 + 3)

If you provide the specific coordinates of rectangle ABCD, I can calculate the new coordinates for A', B', C', and D'. Otherwise, the described method will give you the correct positions after translation.