Identify which diagram represents a step in constructing a perpendicular line that is not a perpendicular bisector.

1 answer

To construct a perpendicular line that is not a bisector of a line segment, you typically start with the following steps:

  1. Identify the line segment: Mark the endpoints of the segment.
  2. Choose a point: Select a point either on the segment or outside of it where the perpendicular line will intersect.
  3. Construct the perpendicular line: Use a compass and straightedge to find the point where the perpendicular line will intersect the given line segment.

The steps in the diagram for constructing such a perpendicular line would not involve marking the midpoint of the line segment because you are not bisecting it. It should include:

  • A marked line segment with endpoints labeled.
  • A point on the line segment or nearby, not necessarily the midpoint.
  • The use of a compass to measure equal distances from the chosen point to create arcs above and below the line, leading to the construction of a perpendicular line through the chosen point.

Look for a diagram that demonstrates these elements without specifically bisecting the segment. If you can provide the specific diagrams you are referring to, I could further assist in identifying the correct one!