Question

Planes S and R both intersect plane T .

Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.

Which statements are true based on the diagram? Select three options.

Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y.

Answer 1

True statements (three):

- The line containing points A and B lies entirely in plane T.
- A and B are two distinct points of plane T, so the line through them lies in T.

- Line z intersects plane S at point C.
- The problem states z meets the lower half of S at C.

- Planes R and T intersect at line y.
- That is given directly.

False:
- Plane S contains points B and E — E is not specified as being in S.
- Line v intersects lines x and y at the same point — v meets x at B and y at A, which are different points.