If triangle ABC is defined by the coordinates A(-4, -4), B(2, -2), C(0, 4) is dilated by a scale factor of 1 2 , with resulting vertex A' at (-2, -2). What is the center of the dilation? A) (0, 0) B) (0, 2) C) (0, 4) D) (-4, -4)

Answer:The center of the dilation is (0 , 0) ⇒ answer AStep-by-step explanation:* Lets talk about dilation - A dilation is a transformation that changes the size of a figure.  - It can become larger or smaller, but the shape of the  figure does not change.  - The scale factor, measures how much larger or smaller    the image will be - If the scale factor greater than 1, then the image will be larger - If the scale factor between 0 and 1, then the image will be smaller - The dilation has a center which we measure all the size from it- If the center is the origin we multiply the scale factor by the  coordinates of the points - For a dilation not at the origin,  we measure the distances.* In the problem - In ΔABC:∵ A = (-4 , -4) , B = (2 , -2) and C = (0 , 4)∵ The scale factor is 1/2∵ A' = (-2 , -2)- If we multiply A (-4 , -4) by the scale factor 1/2, about the center origin  then the image A' = (-2 , -2)∴ The center of the dilation is (0 , 0)