Question

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

Answer 1

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.