To determine the new coordinates of the vertices after a dilation with a scale factor of 2 centered at the origin, you simply multiply each coordinate of the original points by the scale factor.
Let's assume the original coordinates of the points \( P \), \( Q \), and \( R \) are as follows:
- \( P(x_1, y_1) \)
- \( Q(x_2, y_2) \)
- \( R(x_3, y_3) \)
The coordinates after the dilation will be:
- \( P' = (2x_1, 2y_1) \)
- \( Q' = (2x_2, 2y_2) \)
- \( R' = (2x_3, 2y_3) \)
If you provide the original coordinates of points \( P \), \( Q \), and \( R \), I can compute the new coordinates for you.