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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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