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module 4 review-transformations and symm
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question 2 module 4 review-transformations and symmet
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when point f is reflected in y = x, the image is located at f (6, -9).
point f is located at ( )
Step1: Recall reflection rule
When reflecting a point \((x,y)\) over the line \(y = x\), the rule is \((x,y)\to(y,x)\).
Step2: Apply the rule
Let the original point \(F\) be \((a,b)\). After reflection over \(y = x\), it becomes \(F'(b,a)\). Given \(F'(6,-9)\), then \(a=-9\) and \(b = 6\).
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\((-9,6)\)