Question

given the tetrahedron shown, name the vertices, the edges, the faces, the intersection of face qvj and edge cj, and the intersection of face qvj and face qcv. the vertices are (use a comma to separate answers as needed)

Explanation:

Step1: Identify vertices

Vertices are corner - points. In the tetrahedron, they are the points Q, C, V, J.

Step2: Identify edges

Edges are line - segments connecting vertices. They are QC, QV, QJ, CV, CJ, VJ.

Step3: Identify faces

Faces are triangular regions. They are face QCV, face QVJ, face QCJ, face CVJ.

Step4: Find intersection of face QVJ and edge CJ

The intersection of face QVJ and edge CJ is the point J since J is the common point.

Step5: Find intersection of face QVJ and face QCV

The intersection of face QVJ and face QCV is the edge QV as it is the common line - segment.

Answer:

Vertices: Q, C, V, J; Edges: QC, QV, QJ, CV, CJ, VJ; Faces: QCV, QVJ, QCJ, CVJ; Intersection of face QVJ and edge CJ: J; Intersection of face QVJ and face QCV: QV