It square ABDC is translated 2 units to the left and 4 units down to produce square A' B' D'C", what are the coordinates of B'?

1 answer

To determine the new coordinates of point B' after translating square ABDC, we first need to know the original coordinates of point B.

Assuming the vertices of square ABDC are:

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

If point B is at coordinates (x2, y2), and we need to translate it 2 units to the left and 4 units down, we apply the following translation:

  • For the x-coordinate: subtract 2
  • For the y-coordinate: subtract 4

So the new coordinates for point B' would be calculated as follows:

\[ B' = (x2 - 2, y2 - 4) \]

If you have specific coordinates for point B, please provide them so we can calculate the exact coordinates for B'.