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Question
point d is located at (-3, -6) on the coordinate plane. point d is reflected over the x - axis to create point d. point d is then reflected over the y - axis to create point d. what ordered pair describes the location of d?
Step1: Reflect over the x - axis
When reflecting a point $(x,y)$ over the $x$-axis, the rule is $(x,y)\to(x, - y)$.
For point $D(-3,-6)$, after reflection over the $x$-axis, $D'(-3,6)$.
Step2: Reflect over the y - axis
When reflecting a point $(x,y)$ over the $y$-axis, the rule is $(x,y)\to(-x,y)$.
For point $D'(-3,6)$, after reflection over the $y$-axis, $D''(3,6)$.
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$(3,6)$