Question

Planes S and R both intersect plane T. Which statements are based on the diagram. Select three options.

1. Plane S contains points B and E.
2. The line containing points A and B lies entirely in Plane T.
3. Line V intersects lines X and Y at the same point.
4. line Z intersects plane S at point C.
5. Planes R and T intersect at line Y.

Answer 1

Given:

Planes S and R both intersect plane T.

To find:

The correct statements based on the diagram.

Solution:

From the figure it is clear that point B lies on plane S but point E does not lies on plane S.

So, option 1 is incorrect.

From the figure it is clear that line v lies on the plane T and it passes through points A and B.

So, the line containing points A and B lies entirely in Plane T and option 2 is correct.

Line V intersects line X at B and Y at point A. It means Line V does not intersect lines X and Y at the same point.

So, option 3 is incorrect.

From the figure it is clear that line Z intersects plane S at point C.

So, option 4 is correct.

Clearly, planes R and T intersect at line Y.

So, option 5 is correct.

Therefore, the correct options are 2, 4 and 5.