Let me extract and analyze the mathematical content from both images to provide a solution.For Image 1 (Problem 7):

The problem asks for the intersection between two planes:

• Plane ABGH (the vertical front plane of the rectangular prism).
• Plane ABFE (the bottom horizontal plane of the prism).

Solution:

• Plane ABGH is defined by points $A, B, G, H$.
• Plane ABFE is defined by points $A, B, F, E$.
• Their intersection occurs along the common edge shared by both planes, which is line AB.

Thus, the correct answer is: d. garis AB

For Image 2 (Problem 3):

This question involves finding the correct statement about point $P$, which is the intersection of diagonals BG and CF in a cube.

Analysis:

• Diagonal $BG$ lies in the top face $BCGH$.
• Diagonal $CF$ lies in the front face $CDEF$.
• The intersection $P$ is inside the cube.

Now, check the planes:

1. Plane ACGE: $P$ lies outside this plane because it doesn't include either $BG$ or $CF$.
2. Plane BCHE: $P$ is also not in this plane since $CF$ is not part of it.
3. Plane CDEF: $P$ lies on this plane as $CF$ is part of $CDEF$.
4. Plane ABGH: $P$ is outside this plane because $BG$ and $CF$ do not intersect in $ABGH$.
5. Plane BCGF: $P$ is inside this plane because both $BG$ and $CF$ intersect in this plane.

Thus, the correct answer is: c. Titik P terletak pada bidang CDEF

Do you need more details or explanations for these solutions?

Here are five related questions:

1. How do we determine the intersection of two planes geometrically?
2. What are the properties of diagonal intersections inside a cube?
3. How can we define a plane using four points in space?
4. What is the general formula for finding intersections of two lines or planes?
5. How do we verify if a point lies inside a specific plane?

Tip: Always identify shared lines or points between planes when finding their intersection!