Geometric Constructions

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

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)

The following diagram shows some examples of constructions. Scroll down the page for more examples and solutions.

 

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.

• Show Step-by-step Solutions

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

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This video shows how to construct perpendicular bisectors.

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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.

• Show Step-by-step Solutions

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

• Show Step-by-step Solutions

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.

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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.

• Show Step-by-step Solutions

Try the free Mathway calculator and problem solver below to practice various 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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