perpendicular bisector
A line that is perpendicular to a segment at its midpoint.
The perpendicular bisector is a line or line segment that intersects a given line segment at its midpoint and forms a right angle, or 90-degree angle, with that line segment. To find the perpendicular bisector of a line segment, follow these steps:
1. Draw the given line segment.
2. Draw a circle with its center at one endpoint of the line segment and passing through the other endpoint.
3. Repeat step 2 with the other endpoint.
4. The intersection of the two circles is the midpoint of the line segment.
5. Draw a line or line segment perpendicular to the given line segment and passing through the midpoint.
This line is the perpendicular bisector of the given line segment. It divides the line segment into two equal parts, and is equidistant from the two endpoints. This property is useful in geometry and trigonometry for solving problems related to distance, angle measures, and geometric constructions.
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