Geometric construction is a classic form of math that studies building forms and shapes using a compass and straight edge. Modern mathematics has evolved to favor the Cartesian Coordinate System for modeling these types of problems, especially when a computer is involved. That being said, these types of geometric problems are interesting and worth studying as they are useful in construction, art and problem solving in general.

This example demonstrates how to construct an equilateral triangle using a compass and ruler. An equilateral triangle is a triangle whose sides are of equal length.

How to build the golden rectangle using a compass and ruler. This geometric construction also demonstrates how to find the golden ratio.

This example demonstrates how to construct a pentagon using a straight edge and ruler. A hexagon is a polygon with five equal-length sides.

This example demonstrates how to construct a hexagon using a straight edge and ruler. A hexagon is a polygon with six equal-length sides.

How to divide an angle into two equal parts using a compass and straight edge.

How to bisect a line with a compass and straight edge.

How to construct a perpendicular line given a straight line.