2. In the coordinate system in the plane, point $A$ is located in the II. quadrant and is 5 units away from the $x$-axis, and 3 units away from the $y$-axis. Write the coordinates of point $A$ and the coordinates of its axis-symmetric points $B$ (with respect to the $x$-axis) and $C$ (with respect to the $y$-axis). Calculate the area of triangle $\triangle A B C$.
2. Sketch:

1 POINT

![](https://cdn.mathpix.com/cropped/2024_05_30_35476955704baec2fe19g-1.jpg?height=625&width=719&top_left_y=1412&top_left_x=240)

The coordinates of the points are $A(-3,5), B(-3,-5)$, and $C(3,5)$.

Triangle $ABC$ is a right triangle with legs of length 6 and 10 units. 1 POINT

Its area is 30 square units.

1 POINT

TOTAL 6 POINTS

Note: Fully score the correct solution with only numbers, without mentioning units or square units.