Answer: Therefore, graph C represents the rotated figure after a 360° clockwise rotation with the origin as the center of rotation.
Explanation:
The figure is rotated 360° clockwise with the origin as the center of rotation. This means that every point in the figure will be rotated around the origin in a full circle.
To determine which graph represents the rotated figure, we need to visualize how each point in the original triangle will move after the rotation.
Let's start by considering the vertex J at coordinates (2, 3). After a 360° clockwise rotation around the origin, the point J will move to (-3, 2). Similarly, vertex K at coordinates (4, 1) will move to (-1, 4), and vertex L at coordinates (1, -2) will move to (2, 1).
Now let's compare these new coordinates with the options provided. The graph that matches the new coordinates for J (-3, 2), K (-1, 4), and L (2, 1) is graph C.
Therefore, graph C represents the rotated figure after a 360° clockwise rotation with the origin as the center of rotation.