Question

b. here are some points. what are the coordinates of d, e, and f after a reflection over the y - axis? plot these points on the grid, and label them d, e and f.

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of $D$

The coordinates of $D$ are $(- 2,3)$. After reflection over the $y -$axis, $x=-2$ becomes $x = 2$ and $y = 3$ remains the same. So $D'=(2,3)$.

Step3: Find coordinates of $E$

The coordinates of $E$ are $(5,0)$. After reflection over the $y -$axis, $x = 5$ becomes $x=-5$ and $y = 0$ remains the same. So $E'=(-5,0)$.

Step4: Find coordinates of $F$

The coordinates of $F$ are $(2,-2)$. After reflection over the $y -$axis, $x = 2$ becomes $x=-2$ and $y=-2$ remains the same. So $F'=(-2,-2)$.

Answer:

$D'=(2,3)$, $E'=(-5,0)$, $F'=(-2,-2)$