Answer:
Scale factor of the dilation is 3
Step-by-step explanation:
Given a quadrilateral with vertices at A(4, -4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the origin. The image of D i.e coordinates of D after dilation are (36,-12).
we have to find the scale factor of the dilation.
(x,y) → (kx,ky)
As image of D given i.e
D(12,-4) → D'(36,-12)
⇒ 12 → 12k i.e 12k=36 ⇒ k=3
and -4 → -4k i.e -4k=-12 ⇒ k=3
hence, scale factor of the dilation is 3
