89.2k views
5 votes
Name a segment parallel to each side of a triangle...

A) Median
B) Altitude
C) Perpendicular bisector
D) Angle bisector

1 Answer

1 vote

Final answer:

None of the options (Median, Altitude, Perpendicular bisector, Angle bisector) are segments that would be parallel to a side of a triangle. A parallel segment to a side of a triangle would be a distinct construction not encapsulated by these terms. The correct answer is not described by any of the options listed in the question.

Step-by-step explanation:

To answer the question, we need to identify which segment is parallel to each side of a triangle. Of the options provided:

  • A) Median is a line segment that joins a vertex to the midpoint of the opposing side. It is not necessarily parallel to any side of the triangle.
  • B) Altitude is a line segment from a vertex and perpendicular to the opposite side, not parallel.
  • C) Perpendicular bisector is a line that divides a line segment into two equal lengths and is perpendicular to it, and thus, it's not parallel to the segment it bisects.
  • D) Angle bisector divides an angle into two equal angles, but does not ensure any parallelism with a side of the triangle.

None of the options given (Median, Altitude, Perpendicular bisector, Angle bisector) result in a segment parallel to a side of the triangle. To have a segment parallel to a side of a triangle, one could construct a line parallel to one of the triangle's sides at a certain distance away from it. This construction is not described by any of the options listed in the question.

User Bart Whiteley
by
8.3k points

No related questions found