how to construct perpendicular bisector

From each arc intersection draw another pair of arcs that intersect each other. 3. Draw a line from the vertex to the intersection point to form the angle bisector. From the vertex, draw an arc across both rays of the angle. It finds the midpoint of the given line segment. The steps to construct an angle bisector can be summarized as follows: 1. 2. This construction clearly shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. To construct a perpendicular bisector of a segment, you use your compass to locate two points that are each equidistant from the segment’s endpoints and then finish with your straightedge. This figure should help as you work through the construction process: Constructing a perpendicular bisector. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. In the above figure, CD is the perpendicular bisector of the line segment AB. The following example shows you how it’s done. This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. Click on NEXT or RUN to begin. Join C and D to get the perpendicular bisector of the given line segment AB.

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