Question

Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X and Y. Lines EA and FG are parallel.

Based on this information, which lines could be perpendicular to RS? Check all that apply.

Answer 1

Given:

Planes X and Y are perpendicular to each other
Points A, E, F, and G are points only in plane X
Points R and S are points in both planes X and Y
Lines EA and FG are parallel

The lines which could be perpendicular to RS are EA and FG.

Answer 2

Both the lines will be i.e EA and FG will be perpendicular to RS or none of the lines will be perpendicular to RS.

Explanation:

It is given that there are two planes X and Y which are perpendicular to each other.

Consider two planes one as Floor of your room(X) and other as one of the walls of your Room(Y).These two planes will be perpendicular to each other.

Points A,E,F,G are only points in plane X,Whereas Points R and S are both in Plane X and Y.Points R and S lies on Common line of intersection of plane X and Y.

It is given that EA║FG.

As we know If RS⊥EA, then RS ⊥ FG.[ ∴Lines perpendicular to same line are parallel to each other.]