segment bisector
A segment bisector is a line, ray, or segment that divides a given segment into two equal parts
A segment bisector is a line, ray, or segment that divides a given segment into two equal parts. In other words, it cuts the segment into two congruent segments. The segment bisector passes through the midpoint of the given segment, which is the point that is equidistant from both endpoints of the segment.
To understand the concept of a segment bisector, let’s consider a segment AB. A segment bisector would be a line, ray, or segment that divides AB into two congruent segments, let’s say AC and CB. Point C, which is the midpoint of segment AB, lies on the segment bisector. It is located exactly halfway between points A and B.
An important property of a segment bisector is that it intersects the original segment at a right angle, dividing it into two equal parts. This means that the distance from point A to point C is equal to the distance from point B to point C. Additionally, any point on the segment bisector is equidistant from A and B.
Segment bisectors are commonly used in geometry and can be found in various geometric shapes and constructions. They are useful in solving problems involving congruence, symmetry, and proving geometric theorems.
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