4.1.7

# Bisectors and Perpendiculars

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## Bisectors and Perpendiculars

### Bisector of an angle

• The bisector of an angle is a line that passes through the point of the angle and splits the angle exactly in half.
• The bisector is the locus of points that are equidistant (the same distance) from the two lines that make the angle.

### Perpendicular bisector of a line

• The perpendicular bisector of a line is a line that crosses another line at a right-angle and splits the line into two equal segments.
• This is the set of points that are equidistant from two given points.

### Perpendicular from a point to a line

• The perpendicular from a point to a line, is a line that goes through a point and meets the line at a right-angle.
• The perpendicular distance from the point to the line is the shortest distance to that line.

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