A perpendicular bisector
A perpendicular bisector is a line or segment that passes through the midpoint of another line segment and is perpendicular to it
A perpendicular bisector is a line or segment that passes through the midpoint of another line segment and is perpendicular to it. In simpler terms, it is a line that divides a given line segment into two equal parts and forms a right angle with it.
To construct a perpendicular bisector, follow these steps:
1. Draw the given line segment using a ruler.
2. With the compass, draw arcs on both ends of the line segment, creating two points (let’s call them A and B).
3. Without changing the compass width, draw arcs from point A and point B that intersect inside the line segment. Let’s call this intersecting point C.
4. Now, using the ruler, draw a straight line connecting point C to the midpoint of the original line segment. This line is the perpendicular bisector.
The perpendicular bisector is not exclusive to line segments but can also be extended to any line. It can be used in various mathematical concepts, such as proving the congruence of triangles, finding the circumcenter of a triangle, or even in creating perpendicular lines for constructions.
To summarize, a perpendicular bisector is a line that cuts a line segment or line into two equal parts and forms a right angle with it.
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