We want to find the image of the given point after two reflections. Let's consider each of them, one at a time.
Reflection Across Line l_1
First, we will reflect the point O(0,0) across the x -axis. To do this, let's begin by plotting the point and drawing the line of reflection on a coordinate plane.
Point O lies on the line of reflection. Therefore, the image of O is itself.
Reflection Across Line l_2
We will now reflect the point (0,0) across the y -axis using the same reasoning as we did to perform the first reflection. Let's identify the y -axis as the new line of reflection.
Once again, the point (0,0) lies on the line of reflection. Therefore, the image of (0,0) is itself.
The image of the point O(0,0) after two reflections is (0,0).
