Answer :

The series of transformations that would map figure D onto figure E is a

reflection over Y = -X.

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

The coordinates of Figure D are:

(4, 1), (1, 9), (5, 9), (7, 4), (6, 4).

The coordinates of Figure E are:

(-1, -4), (-9, -1), (-9, -5), (-4, -7), (-4, -6)

We see that,

The coordinates transformation:

(4, 1) → (-1, -4)

(1, 9) → (-9, -1)

(5, 9) → (-9, -5)

(7, 4) → (-4, -7)

(6, 4) → (-4, -6)

This is a reflection over Y = -X.

The reflection over Y = -X is (x, y) → (-y, -x).

Thus,

The transformations that would map figure D onto figure E are a

reflection over Y = -X.

Learn more about reflections here:

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