Parallelogram fghi on the coordinate plane below represents the drawing of a horse trail through a local park: (via image)
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(0, 4) and point d(−6, −5), what is another point that could represent a corner of the trail?
1) (4, 4)
2) (11, 4)
3) (6, −5)
4) (−17, −5)

Correct choice is 3)

Step-by-step explanation:

Enlargment is a dilation. A dilation is a transformation that preserves parallel lines and each side length of the pre-image parallelogram is multiplied by the same coefficient.

Note that

From this statement you can conclude that the factor of dilation is 3.

Since

then

and

Yhis gives you that B(12,4) (or B(-12,4)) and C(6,-5) (or C(-18,-5)).

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

the answer is d

hope this