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Question
what is the result of reflecting a point over the y - axis?
a. the coordinates are swapped.
b. the x - coordinate is negated.
c. the y - coordinate is negated.
d. both coordinates are negated.
reflecting a point over the line y = x involves:
When reflecting a point $(x,y)$ over the y - axis, the rule is $(x,y)\to(-x,y)$. So the x - coordinate is negated. When reflecting a point $(x,y)$ over the line $y = x$, the rule is $(x,y)\to(y,x)$ which means the coordinates are swapped.
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For the first question: B. The x - coordinate is negated.
For the second question: A. The coordinates are swapped.