Question : What is the reflection of the point (5, –3) in the line y = 3?
Option 1: (5, 3)
Option 2: (5, 9)
Option 3: (5, –6)
Option 4: (–5, 3)
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Correct Answer: (5, 9)
Solution :
Given: The point (5, –3) in the line y = 3.
A point (x, y) that is reflected over the line y = a will have the relationship (x, y) between its actual and image coordinates, [x, (2a – y)].
The reflection of the point (5, –3) in the line y = 3 is given as,
⇒ [5, 2 × 3 – (– 3)] = (5, 9)
Hence, the correct answer is (5, 9).
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