Are shape I and shape II similar? If so, give the dilation that proves they are similar. If not, explain why the shapes are not similar.

The shapes are not similar. The scale factor of the dilation that maps the lower left point of shape I onto shape II is 2. However, that scale factor does not map the other points of shape I onto shape II. So, there is no dilation that maps shape I onto shape II.

Step-by-step explanation:

A(x1, y1), B(x2, y2), C(x3, y3), D(x4, y4) form line segments AB and CD

For AB to be perpendicular to CD, triangle ABC should be a right angle or AC^2 = AB^2 + BC^2

(x3-x1)+(y3-y1) = (x2-x1)+(y2-y1) + (x3-x2)+(y3-y2)

If this is equal we can say AB is perpendicular to CD

Hope this helps!