Question

Its a rectangle the cordnates provided are A=-5,4
B=—1,4

After applying a translation vector to rectangle ABDC, the coordinates of
A' are (-6,8). What are the coordinates of B'?
(1 point)…

Answer 1

To find the coordinates of \( B' \) after the translation, we first need to determine the translation vector used to translate point \( A \) to \( A' \).

The original coordinates of \( A \) are \( (-5, 4) \) and the new coordinates of \( A' \) are \( (-6, 8) \).

To find the translation vector \( \vec{T} \), we calculate:

\[
\vec{T} = A' - A = (-6, 8) - (-5, 4) = (-6 + 5, 8 - 4) = (-1, 4)
\]

Now we apply this translation vector \( \vec{T} \) to point \( B \) to find \( B' \).

The original coordinates of \( B \) are \( (-1, 4) \). We apply the translation:

\[
B' = B + \vec{T} = (-1, 4) + (-1, 4) = (-1 - 1, 4 + 4) = (-2, 8)
\]

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