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: \[ B' = (-18, -29) \]