Final answer:
To produce an enlargement, choose a scale factor greater than 1 and multiply the x and y coordinates of each vertex. To produce a reduction, choose a scale factor between 0 and 1 and multiply the x and y coordinates of each vertex.
Step-by-step explanation:
The given coordinates are J(0,6), K(2,8), L(6,8), and M(6,4).
A. To produce an enlargement, we need a scale factor greater than 1. Let's choose a scale factor of 2. To find the coordinates of the image, we multiply the x and y coordinates of each vertex by the scale factor. So, the coordinates of the image under this dilation would be J(0*2,6*2) = J(0,12), K(2*2,8*2) = K(4,16), L(6*2,8*2) = L(12,16), and M(6*2,4*2) = M(12,8).
B. To produce a reduction, we need a scale factor between 0 and 1. Let's choose a scale factor of 0.5. To find the coordinates of the image, we multiply the x and y coordinates of each vertex by the scale factor. So, the coordinates of the image under this dilation would be J(0*0.5,6*0.5) = J(0,3), K(2*0.5,8*0.5) = K(1,4), L(6*0.5,8*0.5) = L(3,4), and M(6*0.5,4*0.5) = M(3,2).