Math Problem Statement
Name two planes that intersect at CB.
Solution
The question asks to identify two planes that intersect at line segment CB in the provided rectangular prism diagram.
Looking at the prism:
- CB is a vertical edge of the prism, connecting points C (top left) and B (bottom left).
- To find two planes that intersect along this edge, we need to identify planes that include CB as a common line.
Let's consider the planes that contain CB:
- Plane GCB: This plane includes points G, C, and B and forms one of the side faces of the rectangular prism.
- Plane ABC: This plane includes points A, B, and C, forming the base of the prism.
These two planes intersect at CB, making the correct answer:
- Plane GCB and Plane ABC.
So, the first option, "Plane GCB and Plane ABC", is the correct choice.
Would you like more details or explanations? Here are 5 related questions you might find helpful:
- What is the definition of a plane in geometry?
- How can you identify intersecting planes in a three-dimensional shape?
- What are the other edges of the rectangular prism where two planes intersect?
- Can two planes intersect in more than just a line in three-dimensional space?
- What is the difference between a line and a plane in geometric terms?
Tip: In geometry, when identifying planes, think of them as flat surfaces that extend infinitely in all directions through at least three non-collinear points.
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Math Problem Analysis
Mathematical Concepts
Geometry
Planes and Lines
3D Shapes
Formulas
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Theorems
Intersection of Planes
Suitable Grade Level
Grades 7-10