To translate triangle ABC by 3 units to the left and 5 units down, you will adjust the coordinates of each vertex of the triangle.
Assuming the original coordinates of the triangle's vertices are:
- \( A(x_1, y_1) \)
- \( B(x_2, y_2) \)
- \( C(x_3, y_3) \)
The translation can be performed using the following transformations:
- Move 3 units to the left: decrease the x-coordinate by 3.
- Move 5 units down: decrease the y-coordinate by 5.
The new coordinates after translation will be:
- \( A'(x_1 - 3, y_1 - 5) \)
- \( B'(x_2 - 3, y_2 - 5) \)
- \( C'(x_3 - 3, y_3 - 5) \)
So, if you provide the original coordinates of the triangle ABC, I can calculate the new coordinates after the translation.