Question

given points j(2,3), a(6,5), and r(4,2), graph △jar and its reflection image across the given line. the x - axis. choose the correct graph below.

Explanation:

Step1: Recall reflection rule

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

Step2: Find reflected points

For point $J(2,3)$, its reflection $J'(2,- 3)$.
For point $A(6,5)$, its reflection $A'(6,-5)$.
For point $R(4,2)$, its reflection $R'(4,-2)$.

Step3: Analyze graphs

We need to find the graph where the original triangle with vertices $J(2,3)$, $A(6,5)$, $R(4,2)$ and its reflection across the $x -$axis with vertices $J'(2,-3)$, $A'(6,-5)$, $R'(4,-2)$ is shown correctly.

Answer:

Without seeing the actual details of the graphs, we can't give a specific letter - option. But the correct graph should have the original triangle with vertices $(2,3)$, $(6,5)$, $(4,2)$ and its reflection across the $x -$axis with vertices $(2,-3)$, $(6,-5)$, $(4,-2)$. If you describe the graphs further or provide more details, a more definite answer can be given.