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2. Given the following tetrahedron, name the following: a. Vertices b. Edges c. Faces

2. Given the following tetrahedron, name the following: a. Vertices b. Edges c. Faces

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Geometry of a Tetrahedron **2. Given the following tetrahedron, name the following:** a. **Vertices** b. **Edges** c. **Faces** d. **Intersection of the face DRW and edge RA** e. **Intersection of face DRW and face DAW** ### Diagram Explanation The diagram on the right illustrates a tetrahedron with vertices labeled as D, R, W, and A. The solid lines represent the edges connecting these vertices to form triangular faces. A dashed line between R and A indicates an edge not directly visible on the current plane of view. - **Vertices**: Points D, R, W, A - **Edges**: Lines (e.g., DW, WR, RA) - **Faces**: Triangular areas (e.g., DRW, DAW) ### Specific Intersections - **Intersection of the face DRW and edge RA**: This point would be where the defined face and edge meet, which is not specified in the image but involves considering the geometry and potential hidden lines. - **Intersection of face DRW and face DAW**: The line DA is the intersection line common to both triangular faces DRW and DAW. This exploration of the tetrahedron involves identifying the fundamental triangular shapes and interaction points.
Transcribed Image Text:### Geometry of a Tetrahedron **2. Given the following tetrahedron, name the following:** a. **Vertices** b. **Edges** c. **Faces** d. **Intersection of the face DRW and edge RA** e. **Intersection of face DRW and face DAW** ### Diagram Explanation The diagram on the right illustrates a tetrahedron with vertices labeled as D, R, W, and A. The solid lines represent the edges connecting these vertices to form triangular faces. A dashed line between R and A indicates an edge not directly visible on the current plane of view. - **Vertices**: Points D, R, W, A - **Edges**: Lines (e.g., DW, WR, RA) - **Faces**: Triangular areas (e.g., DRW, DAW) ### Specific Intersections - **Intersection of the face DRW and edge RA**: This point would be where the defined face and edge meet, which is not specified in the image but involves considering the geometry and potential hidden lines. - **Intersection of face DRW and face DAW**: The line DA is the intersection line common to both triangular faces DRW and DAW. This exploration of the tetrahedron involves identifying the fundamental triangular shapes and interaction points.
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