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)
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Correct Answer: (– 7, – 2)
Solution : Given: The point (5, –2) in the line $x = – 1$. The following formula, $(2c–x, y)$ is used to find the value of $c = – 1$. So, the reflection point is $(2c–x, y)$ i.e. $(2×(– 1) – 5, – 2)$. (– 2 – 5, – 2) = (– 7, – 2) Hence, the correct answer is (– 7,– 2).
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