Answer:
A. (6,7)(6,2)(3,7)
Step-by-step explanation:
From the graph, the coordinates of J, K and L are:
![J(-6,-7),K(-6,-2)\text{ and L}(-3,-7)](https://img.qammunity.org/2023/formulas/mathematics/college/k4vh0fty8b02b2t46zjagqmr0dsdqs68q7.png)
When a point (x,y) is rotated 180° around the origin, we have the transformation rule:
![(x,y)\to(-x,-y)](https://img.qammunity.org/2023/formulas/mathematics/college/qpt27fcz69mrx85g0rjrceun0l5w8ct88g.png)
Therefore, the coordinates for Triangle J'K'L' are:
![J^(\prime)(6,7),K^(\prime)(6,2)\text{ and L'}(3,7)](https://img.qammunity.org/2023/formulas/mathematics/college/xzwexc72wyjh5x8j5s8oqovyqj04vcuscn.png)
The correct choice is A.