Question : The point $R(a,b)$ is first reflected over the origin to $R_1$ and $R_1$ is reflected over the X-axis to (–4, 2). The coordinates of point $R$ are:
Option 1: (–4, –2)
Option 2: (–4, 2)
Option 3: (4, 2)
Option 4: (4, –2)
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Correct Answer: (4, 2)
Solution :
Given: The coordinates of the point $R(a,b)$ reflected over the origin are $R(–a,–b)$.
The coordinates of $R(–a,–b)$ are reflected over the X-axis to $(–a, b)$.
But $(–a, b)$ $=(–4, 2)$
So, $a=4,b=2$
Thus point R (4, 2)
Hence, the correct answer is (4, 2).
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