The problem asks to determine the intersection of two planes: $\text{DCG}$ and $\text{EAB}$ based on the given geometric figure.

Step 1: Identify the planes

• Plane $\text{DCG}$ is defined by points $D$, $C$, and $G$. It appears to be a triangular section of the right side of the figure.
• Plane $\text{EAB}$ is defined by points $E$, $A$, and $B$, which forms part of the front or side of the figure.

Step 2: Check for intersection

To find the intersection between two planes, we need to find the line or point where the planes cross each other.

• The intersection between these planes can only happen along a shared edge or point.
• Looking at the figure, $G$ appears to be the only common point between the two planes.

Step 3: Conclusion

The planes $\text{DCG}$ and $\text{EAB}$ intersect at point $G$.

Thus, the correct answer is A: G.

Let me know if you need further clarification or details. Here are a few related questions:

1. How can we determine the intersection line between two planes when they do not share a single point?
2. What is the general rule for the intersection of two planes in 3D geometry?
3. Can two planes be parallel and not intersect? Why or why not?
4. What are the conditions for planes to intersect in exactly one line?
5. How do we represent the equation of a plane in 3D space?

Tip: When two planes intersect, their intersection can either be a line (if they are not parallel) or a point (if they meet at a single vertex).