Question

Find the image vertices for a dilation with center (0, 0) and a scale factor of 4.
(Complete Walkthrough Please)!!

Answer 1

so what do you recall from the last time this was asked?

Answer 2

you need to define the vertexes: A B C and D in order to scale them by 4

the hardest part will be in correctly identifying the points since the grid they use is not a 1x1 standard

Answer 3

i know , thats the part i have the most trouble with,,

Answer 4

well, lets see; each line represents 2, not 1

looks like A is "-3/2 by 1/2" times 2 for the grid; so -3,1
looks like B is "2 by -3/2" times 2 for the grid; so 4,-3
looks like C is "1 by 3/2" times 2 for the grid; so 2, 3
looks like D is "-1/2 by 2" times 2 for the grid; so -1, 4

Answer 5

you could have gone with a normal 1x1 grid setup and scaled it by 2*4 as well; but thats just an observation

take each point and scale it by 4 now

Answer 6

does the term "dilation" have a specific direction? or is it a general term for scaling?

Answer 7

if it means to make smaller, then dividing it all by 4 would do it .....

Answer 8

"Dilation is where the polygon grows or shrinks" ... so its just a general term. Multipliy by 4 then

Answer 9

ok. so it would be
(-3,1)*4= -12/1=-12
(4,-3)*4=16/-3=-5 1/3
(2,3)*4=8/3= 2 2/3
(-1,4)*4=-4/4=1

is this correct?

Answer 10

@amistre64

Answer 11

(-3,1)*4 = (-3(4),1(4)) = (-12,4)

(4,-3)*4 = (16, -12)

(2,3)*4 = (8,12)

(-1,4)*4 = (-4,16)

Answer 12

all you do to dilate is to multiply each point component by the factor ...

Answer 13

oh, lol. oops. so, is this the final answer? or are there more steps.. ?

Answer 14

im pretty sure thats the final results :)

we defined the points, then we scaled (dilated) them.

Answer 15

oh ok. thank you very much.

Answer 16

youre welcome