Question

a. Are points $R$, $S$,$G$ and$F$ coplanar?

b. Are points $R$, $S$,$G$ and$C$ coplanar?

Short answer

1. The points $R$, $S$,$G$ and$F$ are coplanar.
2. The points $R$, $S$,$G$ and$C$ are not coplanar.

Step-by-step solution

Part a. Step 1. Observe the diagram.

The given diagram is:

Part a. Step 2. Definition of the coplanar points.

The coplanar points are the points that lie on the same plane.

Part a. Step 3. Determine whether the points R, S, G and F are coplanar on basis of the definition of collinear points.

From the diagram, it can be noticed that:

The points $R$, $S$,$G$ and$F$ are coplanar points as the points $R$, $S$,$G$ and$F$ lie on the same plane $RSGF$.

Part b. Step 1. Observe the diagram.

The given diagram is:

Part b. Step 2. Definition of the coplanar points.

The coplanar points are the points that lie on the same plane.

Part b. Step 3. Determine whether the points R, S, G and C are coplanar on basis of the definition of coplanar points.

From the diagram, it can be noticed that:

The points $R$, $S$,$G$and role="math" localid="1648759050687" $C$ are not coplanar points because the points $R$, $S$,$G$ and$C$ do not lie on the same plane.