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45 votes
45 votes
Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?

User Stavros Avramidis
by
2.6k points

1 Answer

23 votes
23 votes

Answer:


(10, 2)

Explanation:

Reflecting a point
(x, y) over the line
x=3 gives the point
(x-2(x-3), y), which simplifies to
(-x+6, y).

Plugging in the point
(-4, 2) to the equation gives the reflected point
A', which is at
(-(-4)+6, 2)=(10, 2)

User Chad Johnson
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3.3k points