Atriangle with vertices at a(20, –30), b(10, –15), and c(5, –20) has been dilated with a center of dilation at the origin. the image of b, point mc017-1.jpg, has the coordinates (2, –3). what is the scale factor of the dilation?

The scale factor of the dilation is .

Step-by-step explanation:

Given information: A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20). The center of dilation at the origin. The image of B has the coordinates (2, –3).

If a figure dilated with a center of dilation at the origin and scale factor k, then

Since the image of B has the coordinates (2, –3), therefore

On comparing both sides, we get

Therefore the scale factor of the dilation is .

step-by-step explanation: