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QUESTION IMAGE

points f, and g are plotted on the coordinate plane. plot the coordinat…

Question

points f, and g are plotted on the coordinate plane. plot the coordinates of points f and g after a reflection over the x -axis. then enter the coordinates in the table.

pointcoordinates
g

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $x - axis$ is $(x,-y)$.

Step2: Assume coordinates of $F$ and $G$

Let the coordinates of point $F$ be $(x_1,y_1)$ and of point $G$ be $(x_2,y_2)$.

Step3: Find coordinates of $F'$ and $G'$

The coordinates of $F'$ after reflection over the $x - axis$ will be $(x_1, - y_1)$. The coordinates of $G'$ after reflection over the $x - axis$ will be $(x_2,-y_2)$.

Answer:

Since the original coordinates of $F$ and $G$ are not given, the general form of the answers are:
$F'$: $(x_{F}, - y_{F})$ (where $(x_{F},y_{F})$ are the original coordinates of $F$)
$G'$: $(x_{G}, - y_{G})$ (where $(x_{G},y_{G})$ are the original coordinates of $G$)