Question

100 pts RESPOND QUICK PLS! 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

The line containing points A and B lies entirely in plane T.

Line z intersects plane S at point C.

Planes R and T intersect at line y.

Explanation:

draw a sketch (see picture)

Plane S contains points B and E. - can't be true - there is no point E

The line containing points A and B lies entirely in plane T. - since lines x and y are both on plane T, and points B and A lie on x and y respectively

Line v intersects lines x and y at the same point. - can only be true IF points A and B are the same point

Line z intersects plane S at point C. - given

Planes R and T intersect at line y. - given

Answer 2

The line containing points A and B lies entirely in plane T.

Line z intersects plane S at point C.

Planes R and T intersect at line y.

Explanation:

Note: The given diagram does not match the description. Please see the attachment for the correct diagram.

Planes

A plane is a flat, two-dimensional surface that extends into infinity.

A plane can be named by the letters naming three non-collinear points in the plane or by an uppercase script letter.

• Parallel planes are planes that never intersect.
• Intersecting planes are not parallel and always intersect along a line.

Statement 1

Plane S contains points B and E.

This statement is untrue, since point E is contained in Plane R and point B is contained in Plane S.

Statement 2

The line containing points A and B lies entirely in plane T.

This statement is true.

Statement 3

Line v intersects lines x and y at the same point.

This statement is untrue since lines x and y are on different planes.

Statement 4

Line z intersects plane S at point C.

This statement is true.

Statement 5

Planes R and T intersect at line y.

This statement is true.