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 a. the vertices are b,c,q,d,o,r (use a comma to separate answers as needed.) b. determine the edges of the prism. select all that apply

Explanation:

Step1: Identify vertices

Vertices are corner - points. In the prism, they are B, C, Q, D, O, R.

Step2: Identify edges

Edges are line - segments connecting vertices. The edges are $\overline{BO}$, $\overline{OR}$, $\overline{BR}$, $\overline{BC}$, $\overline{CQ}$, $\overline{BQ}$, $\overline{OD}$, $\overline{DR}$, $\overline{QR}$, $\overline{CD}$, $\overline{CO}$, $\overline{DO}$.

Step3: Identify faces

Faces are flat surfaces. The faces are BCO, BCD, CDRQ, BCQ, ODR, OQR.

Step4: Find intersection of face BCQ and edge $\overline{QR}$

The intersection of face BCQ and edge $\overline{QR}$ is point Q.

Step5: Find intersection of face BCQ and face ODR

The intersection of face BCQ and face ODR is line - segment $\overline{CD}$.

Answer:

a. B, C, Q, D, O, R
b. $\overline{BO}$, $\overline{OR}$, $\overline{BR}$, $\overline{BC}$, $\overline{CQ}$, $\overline{BQ}$, $\overline{OD}$, $\overline{DR}$, $\overline{QR}$, $\overline{CD}$, $\overline{CO}$, $\overline{DO}$
c. BCO, BCD, CDRQ, BCQ, ODR, OQR
d. Q
e. $\overline{CD}$