Question

@Vocaloid

Answer 1

@Will.H

Answer 2

Is it any different that the center of dilation is 2,-2 cuz if it doesn't make difference you can just use the below rule
(x,y) (kx,ky) Where k is the scale factor
Such that
S(2,-2) -->( 5/3 * 2, 5/3 * -2) --> S'(3.3,-3.3)

Answer 3

I'll be right back

Answer 4

i think center of dilation has to be (2,-2)

Answer 5

which i think just means that that is where S' will be to where as the others change

Answer 6

i'll explain im working on it on a draft

Answer 7

ok

Answer 8

@563blackghost can help if she wants as well

Answer 9

because center is (2,-2) which is point S , you cant just multiply each point by 5/3
S' will be same as S
The sides of the triangle will increase in length by factor of 5/3
Find distance for RS and ST, multiply each by 5/3
plot R' and T' such that they are the new distances from (2,-2)

Answer 10

so multiply(2,1) by 5/8?

Answer 11

*5/3

Answer 12

hmm no thats only if center of dilation is center of figure

Answer 13

or multiply 3 and 5/3?

Answer 14

there you go :) the length is 3

Answer 15

i dont have that kind of calculator :(

Answer 16

sure you do, its your brain ... write out 3/1 * 5/3 multiply across

Answer 17

1.87500 is what i got on my computer calculator

Answer 18

i solved it

Answer 19

wait its 5

Answer 20

made a terrible mistake made the scale factor as 5/3 instead of 5/8
i'll fix it hang on

Answer 21

its 5/3

Answer 22

but i cant quit make out the coordinates

Answer 23

@Will.H , you almost got it
However, with any dilation the shape of the figure remains the same. So a right triangle stays a right triangle

Answer 24

are you serious! i changed thew whole work and now it is 5/3 gosh whats wrong w me

Answer 25

@Devonhoward15 , Ok so we get 5 for the new length correct?

Now find point R' that is 5 away from (2,-2) but still on the same vertical axis as point R

Answer 26

would this be correct?

Answer 27

correct

Answer 28

We have the following points
R(2,1) S(2,-2) T(-1,-2)
Scale factor is 5/3 and center is S
When we say the center of dilation it means that we are not going to change that center point it shall remain the same even after the dilation So point S will be as will point S’

That means the image must have sides that have a distance of 5/3 away from S
So find the new points
(x,y)  (kx,ky) where k is the scale factor
R’(3.33,1.67) S’(2,-2) T’(-1.67,-3.33)

The red lines represents the distance from the Center S
Which are identical so that means we are correct!

Answer 29

could yall medal eachother?