Constructing the Perpendicular Bisector of a Segment

This example demonstrates how to construct the perpendicular bisector of a given segment AB and visually confirm the symmetry property. The key math ideas are the midpoint, perpendicular relationships (the bisector is at 90° to AB), and the equal-distance principle: every point on the perpendicular bisector is equidistant from A and B. The construction proceeds by using circles centered at A and B to locate intersection points, then connecting those intersections to form the perpendicular bisector line. From the provided GeoGebra construction summary, it uses the Segment command to create/maintain the relevant segment geometry based on objects A, B, and f. Suitable for secondary school geometry construction practice, proof foundations, and students improving geometric construction skills.