Geometric Constructions

Geometric constructions involve drawing geometric shapes that satisfy certain requirements using a straight-edge and a pair of compasses.

Related Topics: More Geometry Lessons



The tools to use are a ruler (or straight-edge) and a pair of compasses.

A few points to remember when doing the types of geometric constructions covered in these lessons:

  • Do not use a protractor
  • Use a sharp pencil
  • Do not erase the construction lines. (They will show the examiner how the lines or shapes were constructed)



These lessons and videos on Geometric Construction will include the following topics:

Construct and Copy Lines Construct a Perpendicular Bisector
Construct a Perpendicular Line through a Point Construct Parallel Lines
Construct a 60° Angle by Constructing An Equilateral Triangle Construct An Angle Bisector
Construct A 30-Degree Angle Construct A 45-Degree Angle
Construct A Triangle Given The Length Of Its Three Sides (SSS) Construct A Triangle Given One Side And Two Angles
Construct A Triangle Given Two Sides And An Angle Construct a Parallelogram and a Square
Contruct Various Angles & Shapes : 30°, 45 °, 90°, 120°; hexagon, triangle  




This video shows how to copy a line segment using a compass and straight-edge.





This video shows how to copy an angle using a compass and straight-edge.





This video shows how to construct perpendicular bisectors.



This video shows how to use a compass and straightedge to construct a perpendicular to a given line through a point not on that line.





This video shows how to use a compass and straightedge to construct an angle bisector.



This video shows how to a compass and straightedge to construct a line parallel to a given line through a given point not on that line using corresponding angles.







This video shows how to contruct parallel lines using congruent alternate interior angles given the following information: a given line and a point not on that given line.







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