Geometrical Constructions
Using a compass and ruler, we can construct precise geometric figures like angles, perpendicular bisectors, and specific shapes.
Core concept
A perpendicular bisector of a line segment is constructed using a compass to find the exact midpoint and a line at 90° to it.
How it works
An angle bisector divides an angle into two equal parts, constructed using a compass to find equidistant points.
Why it matters
Constructing a specific angle, like 60°, can be done using compass and ruler techniques without a protractor.
Key detail
Practising geometric constructions builds precision, patience, and a deeper understanding of geometric relationships.
Exam highlight
Key diagram

Keywords worth remembering
Trending
Most searched
Study resources
Notes & downloads
Quick notes
• Perpendicular bisector: found using a compass.
• It finds midpoint, forms 90° line.
• Angle bisector: divides angle into two equal parts.
• Uses compass for equidistant points.
• Specific angles (like 60°) constructed with compass/ruler.
• No protractor needed for this method.
• Construction builds precision, patience.
• It deepens geometric understanding.