Question

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 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 a corner of the trail?

(14, 7)

(10, 7)

(12, 7)

(8, 7)

Answer 1

Notice that all the choices have y=7, and x>0 for the coordinates, so AD corresponds to FI.
The point you're looking for corresponds to point G.

Answer 2

I think it is 10, 7

Answer 3

(10,7) seems very reasonable, how did you come to that answer?

Answer 4

Am I right? because it is a 4:3 ratio and I mainly wanted to check to see if I'm right.

Answer 5

I subtracted the distance between F and G. Which is 3, times that by 4 and then added it onto A's x-axis

Answer 6

That's pretty much the same way I see it too.
D and A are 8 units apart in the x direction while I and F are 2 units apart. That is a scale factor of 4, so that makes sense.

Answer 7

So, am I right? Can you please check it for me. Or did you already?

Answer 8

Like I said, it seems reasonable, and your method is pretty much the same as the one I'd use, so I think that is the right answer.

Answer 9

ok. Thank you. :D

Answer 10

Gave you a medal. :3

Answer 11

You're welcome!