Question

given the prism shown to the right, name the following
a. vertices
b. edges
c. faces
d. intersection of face bcq and edge qr
e. intersection of face bcq and face odr
quadrilateral dcqr
△abcq
quadrilateral obdr
d. determine the intersection of face bcq and edge qr. choose the correct answer below
△odr
quadrilateral obcq
quadrilateral obcd
△ocq
△bdr
quadrilateral obsr

Explanation:

Step1: Identify vertices

Vertices are corner - points. Vertices are: O, B, C, D, Q, R.

Step2: Identify edges

Edges are line - segments connecting vertices. Edges are: OB, BC, CD, DO, OQ, QR, RB, BQ, CQ, DR.

Step3: Identify faces

Faces are flat surfaces. Faces are: $\triangle$OBC, $\triangle$OCD, $\triangle$ODR, $\triangle$OBR, $\triangle$BCQ, $\triangle$DQR, quadrilateral OBCD, quadrilateral OBCQ, quadrilateral OBDR, quadrilateral ODRQ, quadrilateral DCQR, quadrilateral OBRQ.

Step4: Find intersection of face BCQ and edge QR

The edge QR intersects face BCQ at point Q.

Step5: Find intersection of face BCQ and face ODR

The intersection of face BCQ and face ODR is the line - segment DR.

Answer:

a. O, B, C, D, Q, R
b. OB, BC, CD, DO, OQ, QR, RB, BQ, CQ, DR
c. $\triangle$OBC, $\triangle$OCD, $\triangle$ODR, $\triangle$OBR, $\triangle$BCQ, $\triangle$DQR, quadrilateral OBCD, quadrilateral OBCQ, quadrilateral OBDR, quadrilateral ODRQ, quadrilateral DCQR, quadrilateral OBRQ
d. Q
e. $\overline{DR}$