GCSE Maths (Edexcel)

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Perpendicular to a Line

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Geometry and Measures Properties and Constructions

Perpendicular to a Line

2:02 Compass Constructions
Spec G2
Previous Rotational Symmetry Next Perpendicular Line Bisector
  • The shortest distance from a point to a line is the perpendicular distance
  • Two lines are perpendicular if they intersect at a right angle
  • To draw a perpendicular from a point to a line, use a pair of compasses
  • Place the compass point on the point and mark the line in two places
  • The separation of the compasses doesn't matter as long as it's big enough for the pencil to cross the line
  • The two intersection points will be the same distance from the point
  • Place the compass point on each intersection point and draw an arc below the line
  • Make sure the separation of the compass is the same as in the previous step
  • The new intersection point underneath the line is a reflection of the point in the line
  • Draw a straight line from the intersection to the point
  • This line should intersect the original line at 90 degrees, making it perpendicular
  • Double check the angle by measuring it with a protractor.

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