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'?

Points are:

A ( -5,4)
B ( -1,4)
C
D

1 answer

To determine the coordinates of point B' after the translation, we need to start with the coordinates of point B and then apply the translation.

The coordinates of point B are given as (-1, 4).

The translation moves the square 2 units to the left and 4 units down, which can be expressed mathematically as:

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

Now, let's calculate the new coordinates of B' after applying the translation:

  • New x-coordinate = -1 - 2 = -3
  • New y-coordinate = 4 - 4 = 0

Thus, the coordinates of point B' are (-3, 0).