The scale factor for the dilation of the triangles in the image is **2**. This is determined by comparing the coordinates of the vertices of the two triangles. For example, the vertex R of the smaller triangle is at (1,1), and the corresponding vertex R' of the larger triangle is at (2,2). The coordinates of R' are twice those of R, indicating a scale factor of 2. The same applies to the other vertices of the triangles. Therefore, among the given options, the correct response is **2**.
