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zavuch27 [327]
3 years ago
15

If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
A is the point (-4, 1)

i) reflection over the y-axis projects a point (a, b) to (-a, b):

(-4, 1) is projected to (4, 1), 

ii) reflection over the x axis projects a point (a, b) to (a, -b):

(4, 1) is projected to (4, -1),

iii) rotation 180 degrees: projects (a, b) to (-a, -b):

so (4, -1) is projected to (-4, 1)


Answer: A'(-4, 1)
 
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