Perpindicular Bisector Math
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We are given line segment hm and we have bisected it divided it exactly in two by a line wa.
Perpindicular bisector math. Why are perpendicular bisectors useful. A line ray or line segment referred to as segment that is perpendicular to a given segment at its midpoint is called a perpendicular bisector. In the figure above the segment pq is being cut into two equal lengths pf and fq by the bisector line ab and does so at 90. In the figure above line ef is the bisector of segment gh.
Drag the points a or b to see both types. Behold the awesome power of the two words perpendicular bisector because with only a line segment hm and its perpendicular bisector wa we can prove this theorem. Therefore a bisector will bisect a segment into two congruent segments. The converse of the perpendicular bisector theorem states that if a point is at an equal distance from both ends of a line segment then that point lies on the perpendicular bisector of that line segment.
Perpendicular bisectors are useful in geometry if we want to find a mid point of distances. To bisect means to cut or divide the given segment into two congruent segments. That line bisected hm at 90 because it is a given. If ab did not cross at a right angle it is simply called the bisector of pq.
A perpendicular bisector of a segment is a line segment or ray that is perpendicular to the segment at its midpoint.
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