Question

Graph the image of the given triangle under a dilation with a scale factor of 1/3 and center of dilation (−2, 2)(−2, 2) .

Answer 1

@3mar your good at this

Answer 2

I know the reflection, rotation, and translation, but I don't know dilation!
Can you give me a hint?

Answer 3

its where its the same shape but smaller

Answer 4

Thanks a lot for your reliance.

Answer 5

Good.
How ??

Answer 6

anything to help you help me... im not sure how to do the problem... do you know someone?

Answer 7

@563blackghost might know

Answer 8

Darn its dilation. I know it but i sometimes confuse things to be honest. Let me look over it again to refresh myself.

Answer 9

ok

Answer 10

Can you list the coordinates for me?

Answer 11

the coordinates for the triangle?

Answer 12

Yes :)

Answer 13

(-2,2) (-8,2) (-2,8)

Answer 14

Correct ^^

Now we know that the coordinates will dilate on point `(-2,2)` that would mean that we would not dilate that coordinate only the others around....

So to dilate by 1/3 we would divide by 3 with the x and y value of the two coordinates....

So....

\(\huge({\frac{-8}{3},\frac{2}{3})\rightarrow~ ?}\)

\(\huge({\frac{-2}{3},\frac{-8}{3})\rightarrow~ ?}\)

And `(-2,2)` will stay the same...

With this we will find the points of dilation....

Answer 15

i dont have the correct calculator

Answer 16

Well from the top of your head can 8 be divisible by 3 without a remainder?

Can 2 be divisible by 3 without a remainder?

Answer 17

no

Answer 18

Correct :)

So they will stay in fraction form or in mixed form....

So the coordinates will stay as they are....so our coordinates are...

\(\huge{(-\frac{8}{3},\frac{2}{3}),(\frac{8}{3},-\frac{2}{3}),(-2,2)}\)

Answer 19

This helped me quite alot...

http://www.regentsprep.org/regents/math/geometry/gt3/ldilate2.htm

Answer 20

im kinda confused

Answer 21

We can't have the coordinates be decimals so we will keep them in improper form...

Answer 22

are those supposed to be multiplied

Answer 23

I just left them as how they were...

Answer 24

After adding in the scale factor in which we divided by 3...

Answer 25

Hint: multiplying 1/3 into the equation is the same as dividing by 3....

Answer 26

sorry im confused lol... which coordinates do i put in?

Answer 27

The one that we divide with the scale factor; the outcome of it....

Answer 28

how do i graph (-8/3,2/3)

Answer 29

this is what i have

Answer 30

is that correct?

Answer 31

Yes :) sorry