Final answer:
To determine the new coordinates after a dilation by a factor of 7 from the origin, multiply each of the original coordinates of ∆ABC by 7.
Step-by-step explanation:
If ∆ABC was dilated by a factor of 7 from the origin to form a new ∆PQR, to find the new coordinates for P, Q, and R, you will need to multiply each coordinate of A, B, and C by the dilation factor of 7. If the original coordinates are A(x1, y1), B(x2, y2), and C(x3, y3), then the coordinates of P, Q, and R will be P(7x1, 7y1), Q(7x2, 7y2), and R(7x3, 7y3), respectively.