Question

triangles nwg and nwg are shown on the coordinate grid where nwg is a transformation of $\triangle nwg$.
write the algebraic rule that will transform $\triangle nwg$ onto $\triangle nwg$.
$(x,y) \longrightarrow ($ answer answer $)$

Explanation:

Step1: Identify coordinates of vertices

Original $\triangle NWG$: $N(-3, -4)$, $W(-2, -1)$, $G(-4, 2)$
Transformed $\triangle N'W'G'$: $N'(3, 4)$, $W'(2, 1)$, $G'(4, -2)$

Step2: Compare x-coordinates

For each point, $x' = -x$:
$-(-3)=3$, $-(-2)=2$, $-(-4)=4$

Step3: Compare y-coordinates

For each point, $y' = -y$:
$-(-4)=4$, $-(-1)=1$, $-(2)=-2$

Step4: Combine into transformation rule

The rule maps $(x,y)$ to $(-x, -y)$

Answer:

$(x, y) \longrightarrow (-x, -y)$