1. **State the problem:** We have a diagram with points A, B, C, D, E, F on a gray plane and point G off the plane. We need to answer questions about the plane, coplanar points, noncoplanar points, collinear points, lines on or off the plane, skew lines, and concurrent lines. 2. **(a) Name of the plane:** The plane can be named by any three non-collinear points on it. For example, plane $\text{ABC}$ or plane $\text{DEF}$. 3. **(b) Three coplanar points:** Points $A$, $B$, and $C$ lie on the plane, so they are coplanar. 4. **(c) Four noncoplanar points:** Since $G$ is off the plane, any set of four points including $G$ and three points on the plane are noncoplanar. For example, points $A$, $B$, $C$, and $G$. 5. **(d) Three collinear points:** Point $C$ lies between $E$ and $A$ on the line through $E$ and $A$, so points $E$, $C$, and $A$ are collinear. 6. **(e) A line not contained in the plane:** The line through points $F$ and $G$ is not contained in the plane because $G$ is off the plane. 7. **(f) A pair of skew lines:** Skew lines are lines that are not parallel and do not intersect. The line through $F$ and $G$ and the line through $B$ and $D$ are skew because one is off the plane and the other is on the plane. 8. **(g) Concurrent lines:** Lines that intersect at a single point. The lines through $E$ and $A$, and through $F$ and $E$ intersect at point $E$, so they are concurrent. Final answers: - (a) Plane $\text{ABC}$ - (b) Points $A$, $B$, $C$ - (c) Points $A$, $B$, $C$, $G$ - (d) Points $E$, $C$, $A$ - (e) Line $FG$ - (f) Lines $FG$ and $BD$ - (g) Lines $EA$ and $FE$