Question
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
Points are:
A (-5,4)
B (-1,4)
C
D
Answers
GPT-4o mini
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:
\[
B' = (-3, 0)
\]
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:
\[
B' = (-3, 0)
\]