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After applying a translation vector to rectangle ABDC, the coordinates of

A' are (-6,8). What are the coordinates of B'?
(1 point)
A=(-5,4 ) B=(-1,4)

(3,8)
(-1,6)
(-2,8)
(2,4)

1 answer

To find the coordinates of B' after applying a translation vector to rectangle ABDC, we need to determine the translation vector that was applied.

The original coordinates of points A and B are as follows:

  • A = (-5, 4)
  • B = (-1, 4)

We know that the new coordinates of A' upon translation are A' = (-6, 8).

To determine the translation vector, we can find the change in the x and y coordinates from A to A':

\[ \text{Translation vector} = (A'_x - A_x, A'_y - A_y) = (-6 - (-5), 8 - 4) = (-1, 4). \]

This means we translate each point by (-1, 4).

Now we apply this translation vector to point B: \[ B' = B + \text{Translation vector}. \] \[ B' = (-1, 4) + (-1, 4) = (-1 - 1, 4 + 4) = (-2, 8). \]

Thus, the coordinates of B' are (-2, 8).