Question

Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?

Answer 1

Dilate by a scale factor of 0.5 with the origin as the center of dilation.

Rotate 90° clockwise about the origin

Explanation:

Polygon ABCD:

• A = (-2, 4)
• B = (-8, 2)
• C = (-4, 8)
• D = (-2, 6)

Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).

This means multiply the x and y values of the points by 0.5:

A → (-1, 2)

B → (-4, 1)

C → (-2, 4)

D → (-1, 3)

Rotate 90° clockwise about the origin: (x, y) → (-y, x)

A' = (-2, 1)

B' = (-1, 4)

C' = (-4, 2)

D' = (-3, 1)

So the transformations are:

• Dilate by a scale factor of 0.5 with the origin as the center of dilation.
• Rotate 90° clockwise about the origin.