Question

given points j(2,4), a(4,6), and r(3,2). graph △jar and its reflection image across the given line. the x - axis choose the correct graph below.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x - axis$, the transformation rule is $(x,y)\to(x, - y)$.

Step2: Find reflected points

For point $J(2,4)$, its reflection $J'(2,-4)$. For point $A(4,6)$, its reflection $A'(4,-6)$. For point $R(3,2)$, its reflection $R'(3,-2)$.

Step3: Analyze graphs

We need to find the graph where the original $\triangle JAR$ with vertices $(2,4),(4,6),(3,2)$ and its reflected triangle with vertices $(2,-4),(4,-6),(3,-2)$ are shown correctly.

Answer:

(Without seeing the actual details of the graphs, we can't pick a specific letter - but the correct graph should have the original triangle with given vertices and its reflection across the $x - axis$ where the $y$-coordinates of the reflected points are the negative of the original $y$-coordinates while $x$-coordinates remain the same)