A rectangle is labeled upper A upper B upper C upper D. Vertices upper A and upper B are labeled as follows: upper A equals left parenthesis negative 5 comma 4 right parenthesis, and upper B equals left parenthesis negative 1 comma 4 right parenthesis.

Question

After applying a translation vector to rectangle ABDC
, the coordinates of A′
are (−6,8)
. What are the coordinates of B′
?

Answer 1

To find the coordinates of B', we need to find the translation vector that was applied to the rectangle ABDC. We can do this by subtracting the coordinates of A' from the original coordinates of A.

Translation vector = A' - A = (-6, 8) - (-5, 4) = (-1, 4)

To find the coordinates of B', we add the translation vector to the original coordinates of B.

B' = B + Translation vector = (-1, 4) + (-1, 4) = (-2, 8)

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