Octagon abcdefgh and its dilation, octagon a'b'c'd'e'f'g'h', are shown on the coordinate plane below: octagon abcdefgh with ordered pairs at a at 3, 1, at b 3, negative 1, c 1, negative 3, d negative 1, negative 3, e negative 3, negative 1, f negative 3, 1, g negative 1, 3, h 1, 3. octagon a prime b prime c prime d prime e prime f prime g prime h prime with ordered pairs a prime 6, 2, at b prime 6, negative 2, at c prime 2, negative 6, at d prime negative 2, negative 6, at e prime negative 6, negative 2, at f prime negative 6, 2, at g prime negative 2, 6, at h prime 2, 6 if the center of dilation is at the origin, by what scale factor was octagon abcdefgh dilated? one half 2 4 one quarter

The correct option is 2. The scale factor of dilation is 2.

Step-by-step explanation:

It is given that Octagon ABCDEFGH and its dilation, octagon A'B'C'D'E'F'G'H'.

The center of dilation is origin.

Let the scale factor is k.

If a figure dilated with scale factor k and center at origin, then

The coordinate of A are (3,1) and coordinates of A' are (6,2).

Since scale factor is k and center of dilation is origin, therefore

Therefore scale factor of dilation is 2. Second option is correct.

nothjing

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional