Question

1. polygon defg has coordinates d(2, 4), e(-3, -2), f(-5, 1), and g(3, -1). the polygon is reflected across the y - axis. write the coordinates of polygon defg.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $y$-axis, the new point is $(-x,y)$.

Step2: Find coordinates of $D'$

For $D(2,4)$, applying the rule: $D'=(-2,4)$.

Step3: Find coordinates of $E'$

For $E(-3,-2)$, applying the rule: $E'=(3,-2)$.

Step4: Find coordinates of $F'$

For $F(-5,1)$, applying the rule: $F'=(5,1)$.

Step5: Find coordinates of $G'$

For $G(3,-1)$, applying the rule: $G'=(-3,-1)$.

Answer:

$D'(-2,4), E'(3,-2), F'(5,1), G'(-3,-1)$