Final answer:
To find the vertices of a dilated triangle with a scale factor of 1/4, multiply the coordinates of each original vertex by 1/4.
Step-by-step explanation:
To perform a dilation of a triangle with a scale factor of 1/4, centered at the origin, you would multiply the x and y coordinates of each vertex by 1/4. The resulting coordinates will give you the vertices of the dilated triangle. If you have a vertex of the original triangle at (x, y), then the coordinates of the corresponding vertex after dilation would be (1/4)x and (1/4)y.
For example, if one vertex of the original triangle is at (8, 12), then after dilation by a scale factor of 1/4, the new vertex would be (2, 3) since 8 multiplied by 1/4 is 2 and 12 multiplied by 1/4 is 3.