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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Question : What is the reflection of the point (5, 3) in the line $y = –2$?
Option 1: (– 9, 3)
Option 2: (– 5, – 7)
Option 3: (– 9, – 3)
Option 4: (5, – 7)
Question : What is the reflection of the point (–3, 1) in the line $x=-2$?
Option 1: (–1, 1)
Option 2: (–3, –5)
Option 3: (1, 1)
Option 4: (–3, 5)
Question : What is the reflection of the point (5, – 2) in the line $x$ = – 1?
Option 1: (– 7, – 2)
Option 2: (5, 0)
Option 3: (7, – 2)
Option 4: (5, 2)
Question : Reflection of the point (4, –6) in the origin is:
Option 1: (4, 6)
Option 2: (–4, –6)
Option 3: (–4, 6)
Option 4: (4, –6)
Question : What is the reflection of the point (–0.5, 6) on the x-axis?
Option 1: (0.5, – 6)
Option 2: (– 6, – 0.5)
Option 3: (6, – 0.5)
Option 4: (– 0.5, – 6)
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