Question

Points C, D, and G lie on plane X. Points E and F lie on plane Y. Vertical plane X intersects horizontal plane Y. Point E is on the left half of plane Y. Point F is on the right half of plane Y. Points C and D are on the top half of plane X. Point G is on the bottom half of plane X. Points A and B are outside of the planes. Which statements are true? Select three options. There are exactly two planes that contain points A, B, and F. There is exactly one plane that contains points E, F, and B. The line that can be drawn through points C and G would lie in plane X. The line that can be drawn through points E and F would lie in plane Y. The only points that can lie on plane Y are points E and F.

Answer 1

Answer:

options 2,3,4

Step-by-step explanation:

There is exactly one plane that contains points E, F, and B.

The line that can be drawn through points C  and G would lie in plane X.

The line that can be drawn through points E and F would lie in plane Y.

Answer 2

Answer:

The true statements are: 3, 4 and 5

Step-by-step explanation:

See the attached figure

According to the figure, we will check the options:

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