To perform a dilation with a scale factor of 3 centered at the origin, you multiply the coordinates of each vertex by the scale factor.
Let's assume the original coordinates of the vertices of triangle QRS are as follows:
- \( Q(x_1, y_1) \)
- \( R(x_2, y_2) \)
- \( S(x_3, y_3) \)
The coordinates of the vertices after dilation would be:
- \( Q' = (3x_1, 3y_1) \)
- \( R' = (3x_2, 3y_2) \)
- \( S' = (3x_3, 3y_3) \)
If you provide the specific coordinates of vertices Q, R, and S, I can give you the exact coordinates after the dilation.