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    Question

    What is the reflection of the point (8, -5) in the line y =

    2?
    A (8, 9) Correct Answer Incorrect Answer
    B (-8, -9) Correct Answer Incorrect Answer
    C (-8, 9) Correct Answer Incorrect Answer
    D (8, -9) Correct Answer Incorrect Answer

    Solution

    If a point (x, y) is reflected across that line y = a, then, the relation between coordinates of actual point and image point will be
    (x, y) → [x, (2a - y)]
    So the reflection of the point (8, -5) along y = 2 will be
    (x, y) → [8, (2(2) - (-5))]
    (x, y) → (8, 9)

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