Question

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?

Answer 1

The answer is (13,8)

Explanation:

I took the test and got it right

Answer 2

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