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Question
xy is reflected across the y - axis to create xy. what are the endpoints of xy?
Step1: Recall reflection rule
The rule for reflecting a point $(x,y)$ across the $y - axis$ is $(-x,y)$.
Step2: Find new coordinates of X
For point $X(3,5)$, applying the rule $(-x,y)$, we get $X'(- 3,5)$.
Step3: Find new coordinates of Y
For point $Y(2,7)$, applying the rule $(-x,y)$, we get $Y'(-2,7)$.
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The endpoints of $\overline{X'Y'}$ are $X'(-3,5)$ and $Y'(-2,7)$