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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 find the coordinates of point B' after translating point B, we need to apply the translation transformation: moving 2 units to the left and 4 units down.

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

  1. Translate 2 units to the left:

    • This means we subtract 2 from the x-coordinate.
    • New x-coordinate: \(-1 - 2 = -3\)

  2. Translate 4 units down:

    • This means we subtract 4 from the y-coordinate.
    • New y-coordinate: \(4 - 4 = 0\)

Therefore, the new coordinates of point B' after the translation are:

\[ B' = (-3, 0) \]