Question
After applying a translation vector to rectangle ABCD, the coordinates of A' are (-6,8). What are the coordinates of B'? (1 point) Coordinates for A = (-3,2) B = (1,2)
Answers
GPT-4o mini
To find the coordinates of B' after the translation, we first need to determine the translation vector based on the movement from A to A'.
The original coordinates of point A are:
- A = (-3, 2)
The new coordinates of point A' are:
- A' = (-6, 8)
To find the translation vector \( T \), we can calculate:
\[
T = A' - A = (-6, 8) - (-3, 2) = (-6 + 3, 8 - 2) = (-3, 6)
\]
Now we apply this translation vector \( T = (-3, 6) \) to point B to find B'.
The coordinates of point B are:
- B = (1, 2)
Applying the translation vector to B:
\[
B' = B + T = (1, 2) + (-3, 6) = (1 - 3, 2 + 6) = (-2, 8)
\]
Therefore, the coordinates of B' are \((-2, 8)\).
The original coordinates of point A are:
- A = (-3, 2)
The new coordinates of point A' are:
- A' = (-6, 8)
To find the translation vector \( T \), we can calculate:
\[
T = A' - A = (-6, 8) - (-3, 2) = (-6 + 3, 8 - 2) = (-3, 6)
\]
Now we apply this translation vector \( T = (-3, 6) \) to point B to find B'.
The coordinates of point B are:
- B = (1, 2)
Applying the translation vector to B:
\[
B' = B + T = (1, 2) + (-3, 6) = (1 - 3, 2 + 6) = (-2, 8)
\]
Therefore, the coordinates of B' are \((-2, 8)\).