Question

Planes X and Y and points C, D, E, and F are shown.

Vertical plane X intersects horizontal plane Y. Point D is on the left half of plane Y. Point F is on the bottom half of plane X. Point E is on the right half of plane Y. Point C is above and to the right of the planes.

Which statement is true about the points and planes?

The line that can be drawn through points C and D is contained in plane Y.
The line that can be drawn through points D and E is contained in plane Y.
The only point that can lie in plane X is point F.
The only points that can lie in plane Y are points D and E.

Answer 1

"The line that can be drawn through points D and E is contained in plane Y."

Reason: D and E both lie in plane Y, and any two points determine a line that lies entirely in the plane containing them. The other statements are false (C is not in Y, and planes contain infinitely many points, not just the ones listed).