Bisectors & Perpendiculars
Maths: Edexcel GCSE Higher, topic 4.17.3
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 locus 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.
Test yourself on Bisectors & Perpendiculars
How would we describe the red line?
How would we describe the red line?
How would we describe the red line?