GCSE Maths (Edexcel)

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Perpendicular Line Bisector

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Geometry and Measures Properties and Constructions

Perpendicular Line Bisector

1:57 Compass Constructions
Spec G2
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  • A perpendicular line bisector is a straight line that intersects another line at right angles
  • It forms two smaller lines of equal size that meet at 90 degrees
  • The vertical line is the perpendicular line bisector of the horizontal line
  • To construct a perpendicular bisector using compasses, draw two arcs over halfway across the line from each end
  • The arcs will intersect in two places
  • Use a ruler to draw a straight line between the points of intersection of the arcs
  • This will give the perpendicular bisector of the original line, forming a right angle and splitting the line into two equal smaller lines
  • To verify that the lines are perpendicular, a protractor can be used to measure the angle between the two lines and check if it is 90 degrees.

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