Questions: Points C, D, and G lie on plane X. Points E and F lie on plane Y. Which statements are true? Choose three correct answers: - The line that can be drawn through points E and F would lie in plane Y. - There is exactly one plane through points C and G. - The only points that can lie on plane Y are points E and F.

Solution Steps

• Points C, D, and G lie on plane X.
• Points E and F lie on plane Y.

1. The line that can be drawn through points E and F would lie in plane Y.
2. There are exactly two planes that contain points A, B, and F.
3. The line that can be drawn through points C and G would lie in plane X.
4. There is exactly one plane that contains points E, F, and B.
5. The only points that can lie on plane Y are points E and F.

1. True: Points E and F lie on plane Y, so any line through them would lie in plane Y.
2. False: Points A and B are not on plane Y, and there is no information suggesting they lie on any specific plane with F.
3. True: Points C and G lie on plane X, so any line through them would lie in plane X.
4. False: There is no information suggesting that point B lies on plane Y with points E and F.
5. False: Other points could potentially lie on plane Y; the statement is too restrictive.

Final Answer