Final answer:
To find the enlarged coordinates of A' and B' using a scale factor of -2 and the origin as the center, multiply each original coordinate by -2 and reverse the sign.
Step-by-step explanation:
The question involves using a scale factor to enlarge a triangle in a coordinate system. To find the coordinates of A' and B', one would apply the scale factor to each component (x and y) of the original vertices A and B, respectively. If the scale factor is -2, you multiply each original coordinate by -2, and also because we are using the origin as the center, the sign of the coordinates will reverse if they are positive and stay the same if they are negative (because of the negative scale factor). For example, if the original coordinates of A are (x1, y1), then the coordinates of A' after the enlargement would be A'(-2*x1, -2*y1). Similarly, if the original coordinates of B are (x2, y2), then the coordinates of B' after the enlargement would be B'(-2*x2, -2*y2).