Question

A polygon will be deleted on a coordinate grid to create a larger polygon. The polygon is dilated using the origin of the search of dilation. Which rule could represent this dilation?A.(x,y)->(0.5x,0.5y)B.(x,y)->(x-5,y-5)C.(x,y)->(7/5x,7/5y)D..(x,y)->(0.5-x,0.5-y)

Answer 1

To dilate a shape means to multiply the coordinates by a factor that will make them increase in size or reduce in size. When the dilation factor is > than 1, it means the shape will increase in size, however, if the dilation factor is < 1 then the image will reduce in size

From the options, the only possible one that will create a larger polygon is

(x,y) = (7/5x. 7/5y)

option C

This is because the dilation factor of 7/5 = 1.4 which is greater than 1