Question
What are the coordinate points of 𝐵′ B'B
′
if 𝐵 BB is translated left 27 and down 38 ? Click for Help Video
𝐵=(9,9) B=\left(9,9\right)B=(9,9)
Make sure that your answer is in parenthesis!
𝐵′= B'=B
′
=
Answers
GPT-4o mini
To find the coordinates of point \( B' \) after translating point \( B \) left by 27 units and down by 38 units, you can apply the following transformations to the coordinates of point \( B \).
Starting point:
\[
B = (9, 9)
\]
**Translation Left by 27:**
- To translate left, you subtract from the x-coordinate:
\[
x' = 9 - 27 = -18
\]
**Translation Down by 38:**
- To translate down, you subtract from the y-coordinate:
\[
y' = 9 - 38 = -29
\]
Now, combining these results, the new coordinates \( B' \) are:
\[
B' = (-18, -29)
\]
Thus, the coordinate points of \( B' \) are:
\[
B' = (-18, -29)
\]
Starting point:
\[
B = (9, 9)
\]
**Translation Left by 27:**
- To translate left, you subtract from the x-coordinate:
\[
x' = 9 - 27 = -18
\]
**Translation Down by 38:**
- To translate down, you subtract from the y-coordinate:
\[
y' = 9 - 38 = -29
\]
Now, combining these results, the new coordinates \( B' \) are:
\[
B' = (-18, -29)
\]
Thus, the coordinate points of \( B' \) are:
\[
B' = (-18, -29)
\]