To solve this problem, we need to rotate the triangle $\Delta KLM$ 180° clockwise around the origin.

For a 180° clockwise rotation about the origin, the coordinates of any point $(x, y)$ will transform into $(-x, -y)$.

Here are the steps:

1. First, find the coordinates of points $K$, $L$, and $M$ from the graph:

   • $K = (-7, -8)$
   • $L = (2, -8)$
   • $M = (-1, -5)$

2. Apply the 180° rotation rule $(x, y) \rightarrow (-x, -y)$:

   • $K(-7, -8) \rightarrow (7, 8)$
   • $L(2, -8) \rightarrow (-2, 8)$
   • $M(-1, -5) \rightarrow (1, 5)$

3. Plot the new points:

   • $K' = (7, 8)$
   • $L' = (-2, 8)$
   • $M' = (1, 5)$

The image of the triangle $\Delta KLM$ after a 180° clockwise rotation is now at the new points.

Would you like a detailed diagram or further clarifications?

Here are 5 related questions to explore further:

1. How does the transformation rule change for a 90° rotation?
2. What are the effects of a reflection over the x-axis for triangle $\Delta KLM$?
3. How do rotations of different angles (e.g., 270°) affect the coordinates of points?
4. What is the significance of rotating around a point other than the origin?
5. Can you describe the properties of a 180° rotation in terms of distance and orientation?

Tip: A 180° rotation is equivalent to reflecting the figure twice—once over the x-axis and then over the y-axis.