How is constructing an angle bisector similar to constructing a perpendicular bisector

Asked by maham237 @ in Mathematics viewed by 313 People

How is constructing a perpendicular bisector similar to constructing an angle bisector? how is it different.

Answered by maham237 @


Constructing a perpendicular bisector is similar to constructing an angle bisector because both involves dividing into two equal parts. When constructing both a perpendicular bisector and an angle bisector, the tip of the compass is placed at the end of the line to make arcs of equal radius. However, when constructing a perpendicular bisector it is necessary to make the arc at both sides of the line. Also, an angle bisector can be constructed by placing the tip of the compass at the vertex of the angle and drawing an arc to cross both lines of the angle, then the tip of the compass is placed at the intersection of the arc and the lines to make another arcs of equal radius intersecting each other, which is then joined to the vertex of the angle.

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