Question

44: use the figure at the right to find all the true statements. select all that apply. points s, q, and n are collinear. plane a could also be named plane qnp. line c could also be named line mn. points m, n, and r are coplanar. points q, n, and p are collinear.

Explanation:

Step1: Check collinearity of S, Q, N

Points S, Q, and N lie on the same straight - line, so they are collinear.

Step2: Check plane naming for plane A

Plane A contains points Q, N, and P, so it could be named plane QNP.

Step3: Check line naming for line C

Line C does not contain points M and N, so it cannot be named line MN.

Step4: Check coplanarity of M, N, R

Points M, N, and R lie on plane B, so they are coplanar.

Step5: Check collinearity of Q, N, P

Points Q, N, and P do not lie on the same straight - line, so they are not collinear.

Answer:

Points S, Q, and N are collinear.
Plane A could also be named plane QNP.
Points M, N, and R are coplanar.