Suppose that rectangle abcd is dilated to a'b'c'd' using the origin as the center and a magnitude of 2. what are the coordinates of c'?

Dilation in mathematics is a transformation that maps an object to and image with the same shape as the object but different size. dilation may stretch or diminish (shrink) a figure depending on the scale factor of dilation. to describe a dilation we state the center of dilation and the scale factor of dilation.in this case the center of dilation is the origin and the magnitude (scale factor) is 2. therefore this dilation maps rectangle abcd to a'b'c'd'. if the coordinates of c is (x,y) then we can calculate the coordinate of c'.the coordinates of c' will be given by (x,y)× 2(scale factor)therefore, the coordinates of c' = (2x,2y)