Final answer:
The vertices of the first triangle have been translated horizontally to the left by 2 units to get the vertices of the second triangle, which indicates a translation transformation.
Step-by-step explanation:
The question involves determining the type of transformation applied to a set of vertices to obtain another set. The given coordinates of the first triangle are (1, 6), (-1, 3), (5, -2), and the coordinates of the second triangle are (-1, 6), (-3, 3), (3, -2). To find which transformation has been applied, let's compare the coordinates of corresponding vertices from the two triangles.
Looking at the x-coordinates of the corresponding vertices, we can see that 2 has been subtracted from each x-coordinate of the first triangle to get the x-coordinate of the second triangle ((1-2 = -1), (-1-2 = -3), (5-2 = 3)). The y-coordinates are the same for the corresponding vertices in both triangles. This consistent change in the x-coordinate with no change in the y-coordinate suggests the transformation is a translation. Specifically, the triangles are translated horizontally to the left side of the coordinate system by 2 units.
The best representation of the transformation of the coordinates for the vertices would be:
a. translation.