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Question
describe the relationship between the point c(-5, - 3) and the point a(5,3) in terms of reflections. reflection in the x -axis reflection in the y -axis reflection in the x -axis and in the y -axis
Step1: Recall reflection rules
Reflection in x - axis changes sign of y - coordinate (x,y)→(x, - y). Reflection in y - axis changes sign of x - coordinate (x,y)→(-x,y).
Step2: Analyze point A(5,3) to C(-5,-3)
For point A(5,3), first reflecting in y - axis gives (-5,3). Then reflecting (-5,3) in x - axis gives (-5,-3).
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reflection in the x - axis and in the y - axis