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.

Planes X and Y are shown. Lines A E and F G are vertical and are on plane X. Line R S is at the intersection of the 2 planes.
Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.

Line E A
Line E R
Line E F
Line F G
Line F S

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 Link

MrRoyal MrRoyal · Answer 2 · 2022-07-05T13:27:41+02:00

The pair of lines that could be perpendicular to RS are EA and FG.

How to determine the pair of lines?

See attachment for the missing piece in the question

Given that:

Planes X and Y are perpendicular

Where:

Plane X ⇒ points A, E, F, and G
Both ⇒ points R and S

From the attached planes, we can see that:

Lines FG and EA pass through points R and S.

Since the planes are perpendicular, then these lines must be perpendicular to line RS

Hence, the pair of lines that could be perpendicular to RS are EA and FG.