After the dilation of factor 3 about the origin, the new coordinates of the vertices are (-3, 3), (3, 6), and (-3, -6).
How the new coordinates of the triangle are determined by dilation of factor 3 about the origin.
When a dilation is performed about the origin, each coordinate of the original point is multiplied by the scale factor.
Given scale factor is 3.
The new coordinates for each vertex:
Vertex A (-1, 1):
Ax = 3*(-1) = -3
Ay = 3 *1 = 3
So, the new coordinates for A are (-3, 3)
B (1, 2):
Bx = 3 *1 = 3
By = 3*2 = 6
The new coordinates for B are (3, 6)
C (-1, -2):
Cx = 3 *(-1) = -3
C y = 3* (-2) = -6
Thus, the new coordinates for C are (-3, -6)
After the dilation of factor 3 about the origin, the new coordinates of the vertices are (-3, 3), (3, 6), and (-3, -6).