CPhill

x/8 - 1/6   = 1/12         write  1/6 as 2/12

x/8 - 2/12 = 1/12    add 2/12 to oth sides

x/8 =  3/12 

x/8  = 1/4       cross-multiply

4x = 1*8

4x = 8     divide both sides by 4

x = 2

Rotate 180 degrees about the origin

Translate 2 units right

To see this...look at  A   = (-1, 2)

Reflecting across the line 180 degrees about the origin reverses the signs of the coordinates = (1, -2)

Translating this two units to the right produces (3,-2)  = A '

Check the other two points to see this is true....

D.  preimage

Correct....!!!

I believe that  C is correct, NSS...

C.

5 lines of symmetry

I believe that   6 is correct, NSS.....

The ratio of the side lengths is a linear comparison....this is just the scale factor  = 1 / 3

Ratio of surface areas =  (scale factor)^2  = (1/3)^2  =  1/9

Correct....!!!!