Question : The point $Q(a,b)$ is first reflected in the y-axis to $Q_1$ and $Q_1$ is reflected in the x-axis to $(-5,3)$. The coordinates of point $Q$ are:
Option 1: $(–5,–3)$
Option 2: $(5,3)$
Option 3: $(–5,3)$
Option 4: $(5,–3)$
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Correct Answer: $(5,–3)$
Solution :
Given: $Q1$ is reflected over the x-axis to $(–5,3)$.
$Q1$ = image of $Q(a,b)$ over Y-axis = $(–5,3)$
Image of $Q(a,b)$ over Y-axis = $(–(–5),–(3))$
Image of $Q(a,b)$ over Y-axis = $(5,–3)$
Hence, the correct answer is $(5,–3)$.
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