In order to build a scale model of the trail, the drawing is enlarged as parallelogram abcd on the coordinate plane. if two corners of the trail are at point a (0, 4) and point d (−6, −5), what is another point that could represent point c?

The answer is A)(13, 8).
Distance I to F is:     yf - yi = -1 - (-4) = -1 + 4 = 3Distance D to A is:   ya - yd = 8 - 2 = 6
Distance D to A : Distance I to F = 6 : 36 : 3 = 2, so scale factor is 2.
Among all choices, we see that the y point of another corner is 8, so we need to find x point.
Distance I to H is:                 xh - xi = -2 - (-7) = -2 + 7 = 5Distance A to x corner is:    x - xa = x - 3
Since Distance I to H is 5, and scale factor is 2, we have:Distance A to x corner : Distance I to H = 2Distance A to x corner = 2 * Distance I to H = 2 * 5 = 10
Distance A to x corner is:    xa - x = x - 3 = 10x - 3 = 10x = 10 + 3x = 13

What are you asking ?