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 pair of lines, together, could be perpendicular to rs? select two options. ea er ef fg fs

Explanation:

Step1: Recall the property of perpendicular lines

If two planes are perpendicular, a line in one plane perpendicular to the line of intersection of the two planes is perpendicular to the other plane. Here, planes \(X\) and \(Y\) are perpendicular, and \(\overline{RS}\) is the line of intersection of planes \(X\) and \(Y\).

Step2: Analyze the given lines

Lines \(\overline{EA}\) and \(\overline{FG}\) are in plane \(X\). Since lines in a plane perpendicular to the line of intersection of two perpendicular planes are perpendicular to the other plane (and thus to the line of intersection). Also, given that \(\overline{EA}\parallel\overline{FG}\).

Answer:

\(\overline{EA}\), \(\overline{FG}\)