Question

select the best description for the diagram. (overline{ab}) and (overline{cd}) are ____ (circ) perpendicular to (overline{ef}), which are all in plane (p). (circ) (overline{ab}), (overline{cd}), and (overline{ef}) are all in plane (p), and point (x) is the midpoint of all three segments. (circ) point (p) is the midpoint of (overline{ab}), (overline{cd}), and (overline{ef}), which are all in plane (x). (circ) (overline{ab}), (overline{cd}), and (overline{ef}) are all in plane (p) and are all the same length.

Explanation:

1. Analyze the first option: The diagram does not show \( \overline{AB} \) and \( \overline{CD} \) perpendicular to \( \overline{EF} \), so this is incorrect.
2. Analyze the second option: From the diagram, \( \overline{AB} \), \( \overline{CD} \), and \( \overline{EF} \) intersect at point \( X \), and the tick marks indicate \( X \) is the midpoint of each segment (equal segments on either side of \( X \)) and all are in plane \( P \). This matches.
3. Analyze the third option: Point \( P \) is a plane, not a point on the segments, so it can't be a midpoint. Also, the plane is \( P \), not \( X \), so this is incorrect.
4. Analyze the fourth option: The diagram shows midpoints (tick marks) but doesn't indicate all segments are the same length, so this is incorrect.

Answer:

\( \overline{AB} \), \( \overline{CD} \), and \( \overline{EF} \) are all in plane \( P \), and point \( X \) is the midpoint of all three segments.