Learn To Construct Geometric Shapes Using Perpendicular Bisector – Step By Step Guide

perpendicular bisector

A perpendicular bisector of a segment is a line through the midpoint of the segment that is perpendicular to it.

A perpendicular bisector is a line that divides a line segment into two equal parts and forms a 90-degree angle or a right angle with that line segment.

To find the perpendicular bisector of a segment, you would need to:

1. Draw the given line segment
2. Mark the midpoint of the line segment. This can be done simply by measuring the length of the line, dividing it by 2, and marking the point accordingly.
3. Draw a line perpendicular to the given line segment at the midpoint. To do this, use a compass to draw a circle with the midpoint as the center, and the radius larger than half the length of the line segment. This circle will intersect the segment at two points.
4. From each of these two points of intersection, draw a perpendicular line to the given line segment.
5. The intersection of these two perpendicular lines is the point on the given line segment that is equidistant to its endpoints, and therefore the perpendicular bisector of the segment.

It is worth noting that the perpendicular bisector is a basic tool in constructing geometric shapes, as it forms the basis for many other constructions, including angles, triangles, and regular polygons.

More Answers: