10pts and brainliestthe image of a triangle after it has been dilated with a center of dilation at the origin has vertices at a(12, –6), b(–24, –12), and c. if the pre-image of b, point b, has coordinates of (–18, –9) and the pre-image of c, point c, has coordinates of (–13.5, 18), which statements are true? check all that apply.
the coordinates of c are (27, 18).
the coordinates of c are (–18, 24).
the scale factor is 1 1/3 .
the scale factor is 1 1/5 .
the scale factor is 3/5.
the coordinates of a are (16, –8).
the coordinates of a are (9, –4.5).

C is (-18, 24)

Scale factor 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

Step-by-step explanation:

When we take a look at image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by

(-24/-18) and (-12/-9) both equal 4/3

So using the scale factor to go from the pre image to the image,

We can find C coordinate by multiplying pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A we divide the image by the scale factor

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hope this helps,

Cate