Question

Determine a series of transformations that would map polygon ABCDE onto polygon

Answer 1

Answer:

A rotation 180° about the origin followed by a translation 3 units down

Step-by-step explanation:

In the figure attached, the polygons are shown.

Rotation 180° about the origin transforms point (x, y) into (-x, -y). Then, points A, B, C, D, E are transformed into:

A (-1, 1) -> (1, -1)

B (-6, 3) -> (6, -3)

C (-6, 6) -> (6, -6)

D (-3, 6) -> (3, -6)

E (-1, 5) -> (1, -5)

Translation 3 units down transforms point (x, y) into (x, y-3). Then, previous points are transformed into:

(1, -1) -> (1, -4) which corresponds to  point A'

(6, -3) -> (6, -6) which corresponds to  point  B'

(6, -6) -> (6, -9) which corresponds to  point  C'

(3, -6) -> (3, -9) which corresponds to  point  D'

(1, -5) -> (1, -8) which corresponds to  point  E'