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The series of transformations that would map figure D onto figure E is a
reflection over Y = -X.
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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