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 q,c,v,j (use a comma to separate answers as needed ) the edges are qc,qv,qj,cv,cj,vj (use a comma to separate answers as needed ) the faces are qvj,qvc,qjc,jvc (use a comma to separate answers as needed ) the intersection of face qvj and edge cj is

Explanation:

Step1: Recall intersection concept

The intersection of a face and an edge is the point where the edge lies on the face.

Step2: Analyze face QVJ and edge CJ

Edge CJ has endpoints C and J. Face QVJ contains points Q, V, J. The common - point between face QVJ and edge CJ is J.

Step3: Recall intersection of two - faces concept

The intersection of two non - parallel faces of a polyhedron is a line segment.

Step4: Analyze face QVJ and face QCV

Face QVJ has vertices Q, V, J and face QCV has vertices Q, C, V. The common line segment between them is QV.

Answer:

The intersection of face QVJ and edge CJ is J.
The intersection of face QVJ and face QCV is QV.