Introduction:
In this problem, we are asked to draw line segments EF and GH which intersect each other. We are also required to label the point of intersection as point K. Let's break down the problem step by step and draw the line segments accordingly.

Step 1: Drawing Line Segment EF:
To draw line segment EF, we need two distinct points E and F. Let's assume point E is located at (2, 3) on the coordinate plane, and point F is located at (6, 5). We can represent these points as coordinates (x, y).

Step 2: Drawing Line Segment GH:
Similarly, to draw line segment GH, we need two distinct points G and H. Let's assume point G is located at (1, 6) and point H is located at (7, 2).

Step 3: Plotting Points and Drawing Line Segments:
Now, we can plot the points E, F, G, and H on the coordinate plane. We can connect points E and F to form line segment EF, and points G and H to form line segment GH.

Step 4: Finding the Intersection Point:
To find the point of intersection, we need to determine the coordinates where line segments EF and GH intersect. In this case, the line segments intersect at point K.

Step 5: Labeling Point K:
Finally, we label the point of intersection as point K.

Conclusion:
We have successfully drawn line segments EF and GH, which intersect each other at point K. It is important to remember that the location of points E, F, G, and H can be chosen arbitrarily, as long as they are distinct and the line segments intersect.