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 (0, 4) and point D (-6, -5), what is another point that could represent a corner of the trail?

Answer 2

Select one:
a. (9, -5)
b. (6, -5)
c. (12, -5)
d. (3, -5)

Answer 3

@ganeshie8 I need your help please

Answer 4

@ganeshie8 please

Answer 5

hi edge, so to answer this, first what is the length of side a (line IF in your original parallelogram)

Answer 6

how do I find the length of the side

Answer 7

make it a triangle
ie:

Answer 8

so if i have the 2 points i can work out the base length by
x2 - x1
7 - 3
= 4
so side a of the triangle above= 4

then side b
y2 - y1
3 - 0
=3
so side b = 3

so h^2 = a^2 + b^2
h^2 = 4^2 + 3^2
h^2 = 16 + 9
h^2 = 25
so h = 5

so the length of the side of the above triangle would be 5

do u understand the above process ok?

Answer 9

I understand now

Answer 10

so theres oviously going to be a negative 5 in our answer

Answer 11

sweet, so find the ratio of side a to side A' in the pic i drew
then work out the length of side b and what B'should be in the expanded parallelogram

Answer 12

yep, definate neg 5 in the answer

Answer 13

do we have enough work to see if we can cancel anything out yet

Answer 14

no, better if u just calculate it

Answer 15

ok

Answer 16

what do you mean by the ratio of side A

Answer 17

is there a formula that I have to calculate it in

Answer 18

work out length of each first
ratio will be how many of the small sides (a) you can fit in the big side (A')
= A' / a

Answer 19

you just confused me soo much