Question

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

Quadrilateral FGHI is shown on the coordinate plane with coordinates F at 4, negative 2. G at 7, negative 2. H at 5, negative 4. I at 2, negative 4. Point A is at negative 2, 7 and point D is at negative 10, negative 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?

Answer 1

@Wolfboy @Kayleedid @anonymous_user Can you help? Please please pleasee?

Answer 2

@ShailKumar Can you help?

Answer 3

Let me try.

Answer 4

Thank you!

Answer 5

First calculate the distances FI and AD. Find the scaling factor AD/FI.

Answer 6

how do i do that?

Answer 7

Distance between two points (x1,y1) and (x2,y2) is given by
\[D = \sqrt{(x1-x2)^2+ (y1-y2)^2} \]

Answer 8

What points do I use?

Answer 9

For F1 use F and I

Answer 10

*FI

Answer 11

2?

Answer 12

You there?

Answer 13

Could you find FI and AD ?

Answer 14

f is 4, -2 I is 2,-4
A is -2, 7 D is 10,-1

Answer 15

Correct but D is -10,-1

Answer 16

ohhh ok so whats next?

Answer 17

Let me do FI for you.

Answer 18

Ok :)

Answer 19

For FI, since F(4,-2) so take x1 = 4 and y1 = -2. since I(2,-4) take x2 = 2 and y2 = -4.
Using the distance formula:
\[FI = \sqrt{(4-2)^2 + (-2 - (-4))^2}\]
\[FI = \sqrt{4+4}\]
\[FI = 2\sqrt{2}\]

Answer 20

Is that good ?

Answer 21

Its awesome :)

Answer 22

Now do it for AD

Answer 23

AD= (-2-10)^2 + (7-1)^2 Squared
AD= 24+36
AD=
im stuck

Answer 24

@ShailKumar

Answer 25

AD is square root of (-2+10)^2 + (7+1)^2

Answer 26

@ShailKumar

do you think that you can finish explaining please?