Answer:
a. (x,y) → (-x,-y)
Step-by-step explanation:
You want the rule that results in rotation 180° about the origin.
Rotation 180° about the origin has the same effect as any of ...
The transformation rule describing this is ...
(x, y) → (-x, -y) . . . . . choice A
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Additional comment
The transformations effected by the other rules are ...
b. (x,y) → (-y, -x) — reflection across the line y = -x
c. (x,y) → (x,-y) — reflection across the x-axis
d. (x,y) → (-x,y) — reflection across the y-axis