To construct a perpendicular bisector of a segment through any point, follow these proper steps:
1. Identify Segment and Point: Start with the segment you wish to bisect and the point through which the perpendicular bisector will pass.
2. Draw Circles: Using a compass, draw two circles with the same radius centered at the endpoints of the segment. These circles should intersect at two points.
3. Mark Intersection Points: Identify and mark the points where these two circles intersect. These points will be equidistant from the endpoints of the original segment.
4. Draw the Bisector: Use a ruler to draw a straight line through the two intersection points. This line will be the perpendicular bisector of the original segment.
To answer the multiple-choice question:
- Option A (0): This option does not describe a method for constructing a perpendicular bisector through any point and appears not to be relevant.
- Option B (X): This option does not align with the proper steps that we have outlined for the construction.
Therefore, the correct answer that shows the proper steps is option A.
