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

the image of a triangle after it has been dilated with a center of dilation at the origin has vertices at a'(12, –6) and b' (–24, –12) (c' is unknown).

the initial triangle has vertex b with coordinates (-18,-9).

from these data you can find the factor of dilation:

.

this means that if you have coordinates of point b and multiply them by , you obtain the coordinates of b' or if you have coordinates of point b' and multiply them by , you obtain the coordinates of b.

now the coordinates of a' are (12,-6). when multiplying by , you obtain the coordinates of a(9,-4.5).

answer: correct choice is a(9,-4.5).

after simplifying it i got: -36.25 as my answer. hope that !