Adilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. how do you know that a dilation will produce similar figures? explain

A dilation can elongate or diminish a figure. It can create an image the same as the original by using a scale factor. The scale factor of a dilation is the ratio of corresponding side lengths.  To dilate a polygon, multiply the coordinates of each vertex by the scale factor k and connect the vertices.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: