GCSE Maths (AQA)

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Geometry and measures Properties and constructions

Perpendicular Line Bisector

1:57 use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line
Spec G2
Previous Perpendicular to a Line Next Angle Bisector
  • 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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372

questions for Geometry and measures

164

questions for Properties and constructions