Parallelogram fghi on the coordinate plane below represents the drawing of a horse trail through a local park:

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 (−2, 7) and point d (−10, −1), what is another point that could represent point b?

The coordinates of B are (10,7).

Step-by-step explanation:

It is given that the parallelogram ABCD is the image of Parallelogram FGHI. So, B is image of G.

Since FG is parallel to x-axis therefore AB is also parallel to x-axis and the y-coordinates of A and B are same.

Let the coordinates of B be (x,7).

Distance formula:

Scale factor of dilations is the proportion of side length of image and preimage.

Length of AB is 4 times length of FG. The length of FG is

Length of AB is

The points are A(-2,7) and B(x,7).

Therefore the coordinates of B are (10,7).

(10,7)

Step-by-step explanation:

I took the test and got it right

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