Question

1. use the diagram to answer the questions below. a. are points m, n and p coplanar? (overline{no}) b. name a point coplanar to k and q. c. name the intersection of plane mno and plane oqf

Explanation:

Step1: Recall coplanar definition

Coplanar points lie on the same plane. In a 3 - D figure like the one shown, if we consider the planes of the cube - like structure, we can analyze the points.

Step2: Analyze points M, N, P

Points M, N, P are on the same face of the 3 - D figure (a plane of the cube - like structure), so they are coplanar.

Step3: Find a point coplanar to K and Q

We need to find a point that lies on the same plane as K and Q. Looking at the figure, if we consider the plane that contains K and Q, a possible point could be a vertex that shares that plane. For example, if K and Q are on a particular face, a vertex on that face like R (assuming a proper - named vertex in the figure) could be coplanar with them.

Step4: Determine intersection of planes

The intersection of two non - parallel planes is a line. To name the intersection of Plane MNO and Plane QOP, we need to find the common line between them. The common line is the line segment where the two planes meet, which is $\overline{OP}$.

Answer:

a. Yes, points M, N, and P are coplanar.
b. (Answer depends on figure vertex naming, for example) R (assuming R is a vertex on the same plane as K and Q)
c. $\overline{OP}$