Question

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park.

Answer 1

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?
im clueless could someone help me?

Answer 2

Dunno if it helps :(

Answer 3

well its better than nothing, thanks!

Answer 4

that means it doesn't help... Welcome, i didn't help anyway

Answer 5

well actually it did
one of the choices was (10,7)

Answer 6

For the distance between the points, to find the scale. make them into a triangle and use pythag theorom
\[c^2 = a^2+b^2\]
Length of AD
\[AD^2 = 8^2+8^2\]
(the vertical/horizontal distances are 8)
\[AD = \sqrt{128} = 16/\sqrt{2}\]
or if you notice that this is a 45-45-90 triangle you can use the standard proportions
\[FI=2/(\sqrt{2}/2) = 4/\sqrt{2}\]
So the scale is 1:4, which you can use to mark out a line 4 times the length of FG from point A. Giving you a corner.

Answer 7

it will be
. make them into a triangle and use pythag theorom
c2=a2+b2

Length of AD
AD2=82+82

(the vertical/horizontal distances are 8)
AD=128−−−√=16/2√

or if you notice that this is a 45-45-90 triangle you can use the standard proportions
FI=2/(2√/2)=4/2√

So the scale is 1:4, which you can use to mark out a line 4 times the length of FG from point A. Giving you a corner.