Final answer:
The question involves using a scale factor to dilate a geometric figure, specifically a triangle. With a scale factor of 1.5 and without specific pre-image coordinates, the principle is to multiply each vertex coordinate by the scale factor to find the dilated image coordinates. An example with hypothetical coordinates illustrates this process.
Step-by-step explanation:
The subject of this question is Mathematics, and it deals specifically with the concept of scale factor and dilation of geometric figures, which is typically covered in high school curriculum. Although the question mentions Justina and a triangle, we don't have the pre-image coordinates. Instead, we can provide an example on how to use a scale factor.
Assume Justina's triangle ABC has vertices A(x1, y1), B(x2, y2), and C(x3, y3). To dilate the triangle by a scale factor of 1.5, Justina would multiply each coordinate of the vertices by 1.5. The image's coordinates would then be A'(1.5x1, 1.5y1), B'(1.5x2, 1.5y2), and C'(1.5x3, 1.5y3).
For example, if the pre-image of triangle ABC was A(2, 3), B(4, 5), and C(6, 3), after applying the scale factor, the coordinates of the dilated triangle A'B'C' would be A'(3, 4.5), B'(6, 7.5), and C'(9, 4.5).