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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
Construct 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 construct parallel lines using congruent alternate interior angles given the following information: a given line and a point not on that given line.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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