Explanation:
a dilation does not shift objects.
it makes them bigger or smaller.
and because this is done by adjusting the point coordinates, it can also seemingly move the larger or smaller projection image.
a dilation with factor k converts every point
(x, y) into (x×k, y×k).
that's it.
you only need to mark the new points and then connect them.
15.
k = 2
A = (1, 1), A' = (2, 2)
B = (2, -1), B' = (4, -2)
C = (-2, 0), C' = (-4, 0)
16.
k = ¼
A = (0, 4), A' = (0, 1)
B = (4, -4), B' = (1, -1)
Can = (-4, -4), C' = (-1, -1)
17.
k = ½
A = (4, 4), A' = (2, 2)
B = (4, 8), B' = (2, 4)
C = (6, 4), C' = (3, 2)
D = (6, 6), D' = (3, 3)
18.
k = 1 ½ = 3/2
A = (2, 0), A' = (2×3/2, 0×3/2) = (3, 0)
B = (0, -2), B' = (0, -3)
C = (-2, 1), C' = (-3, 3/2) = (-3, 1.5)
D = (1, 2), D' = (3/2, 3) = (1.5, 3)
19.
k = 2
A = (2, 0), A' = (4, 0)
B = (2, 2), B' = (4, 4)
20.
k = ½
A = (2, 4), A' = (1, 2)
B = (6, 2), B' = (3, 1)