What is the scale factor of a triangle with a vertex of A(-6,4) that has been dilated with the center of dilation at the origin so the vertex of its image is A’(-24,16)?

Answer:The scale factor is 4Step-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* In the problem- The vertex A of the triangle is (-6 , 4) and its image A' is (-24 , 16)∵ -24 ÷ -6 = 4∵ 16 ÷ 4 = 4 ∴ The scale factor is 4∵ 4 > 1∴ The image of the triangle will be larger* The scale factor is 4