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)
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Correct Answer: (–1, 1)
Solution :
To find: Reflection of the point (–3, 1) in the line $x=-2$.
Reflection of a point $(x_1, y_1)$ in a line $x=a$ is $(-x_1+2a, y_1)$.
So, reflection of the point (–3, 1) in the line $x=-2$,
= (–(–3) + 2(–2), 1)
= (–1, 1)
Hence, the correct answer is (–1, 1).
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