Final answer:
To dilate the given points G(-2, 0), H(-1, 3), I(3, -1), J(-1, -2) by a factor of 1.5 about the origin, multiply each coordinate by 1.5.
Step-by-step explanation:
A dilation of 1.5 about the origin represents a transformation where all points on a figure are moved 1.5 times their original distance away from the origin. To dilate the given points G(-2, 0), H(-1, 3), I(3, -1), J(-1, -2) by a factor of 1.5 about the origin, we can multiply the coordinates of each point by 1.5.
For example, the coordinates of point G after dilation would be (-2 * 1.5, 0 * 1.5), which simplifies to (-3, 0). Similarly, the coordinates of point H would be (-1 * 1.5, 3 * 1.5), which simplifies to (-1.5, 4.5).
Therefore, the dilated coordinates of the points are: G(-3, 0), H(-1.5, 4.5), I(4.5, -1.5), and J(-1.5, -3).