Math Problem Statement
Solution
To solve the problem, we need to identify two planes that intersect along the line in the given diagram of a rectangular prism.
From the diagram, the line connects points and and is the intersection of two planes that share this line.
- Plane 1: The plane formed by (denoted as plane ) contains the line .
- Plane 2: The plane formed by (denoted as plane ) also contains the line .
Now, checking the answer options:
- A. Plane VUX and Plane VWS: Incorrect, as VWS doesn't intersect in line .
- B. Plane UVR and Plane XTS: Incorrect, UVR doesn't intersect at .
- C. Plane UVW and Plane UVR: Incorrect, neither of these planes contains .
- D. Plane UVW and Plane XTS: Correct! Both planes UVW and XTS intersect in .
Thus, the correct answer is D.
Let me know if you would like a detailed breakdown or have any questions!
Here are 5 related questions to explore:
- What is a plane in geometry, and how do you define it?
- How do you determine the intersection line between two planes?
- What are the properties of a rectangular prism in 3D geometry?
- How can you calculate the angle between two intersecting planes?
- How do you determine the equation of a plane given three points?
Tip: When determining the intersection of planes, always look for shared edges or lines within the geometry.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Planes and Intersections
3D Shapes
Formulas
-
Theorems
Planes Intersecting Along a Line
Suitable Grade Level
Grades 8-10
Related Recommendation
Identifying Intersecting Planes in a Rectangular Prism
Identifying the Highlighted Plane in a Rectangular Prism
Intersection of Plane Through Points A, B, and C on Cube PQRS.TUVW
Intersecting Planes in a Cube - Geometry Problem
Geometry Problems: Intersection of Planes and Evaluation of Points on Planes