Bisectors & Perpendiculars

Maths: Edexcel GCSE Higher, topic 4.17.3

Bisectors and Perpendiculars

Bisector of an angle

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

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

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?

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