This is a sampling of the 28 Geometric Constructions. This is just a taste of what the lessons are like. Each lesson also includes a link to the printable instructions. These are designed for students from 10 to 15 years-old.

This is the introduction and the first lesson in the series "Geometric Constructions" A series of lessons using only a compass and a straightedge to construct many geometric challenges. Excellent work for 4th through 6th grade students. Younger student may find the precise use of a compass difficult.

This is the second lesson in a series of Geometry Constructions. In this lesson the student is challenged to construct a line segment that is congruent to the sum of two line segments.

How to construct an equivalent angle to a given angle.

Construct an angle on a given line that is equivalent to the sum of two given angles

These three constructions show how to bisect a line segment, bisect an angle, and how to construct a perpendicular line to a given line segment.

This construction shows how to draw a line perpendicular to a given line that goes through an external point to the line.

Learn how to bisect an angle of a triangle.

Construction ten demonstrates how to construct a median to a triangle by drawing a line from one vertex to the middle of the opposite side of the triangle.

Learn how to find the "centroid" of a triangle.

Learn how to find the altitude of an equilateral triangle. This is the first of three lessons that show how to find the altitude or height of different triangles.

Learn how to establish an external altitude to an obtuse-angle triangle. This is an important skill in finding the area of obtuse-angle triangles

Learn how to establish the altitude of a right-angle triangle. This completes the three-part lesson of finding the altitude of different triangles.

How to construct a line parallel to a given line through an external point.

Learn how to divide a given line into three equal parts using only a compass and a straightedge.

Construction of a triangle from three given sides

Constructing a triangle from two given sides and one given angle.

Construction of a triangle with two given angles and one given side.

Constructing a line tangent to a given circle.

Construction of a line tangent to a circle from an external point.

How to find the center of a circle.

How to construct a circle that circumscribes a given triangle.

How to construct a circle inscribed within a triangle.

Construct a line segment that is proportional to three given line segments using parallel lines constructed of an angle.

To divide a line segment into two parts that are proportional to two given line segments

How to construct a similar triangle to a given triangle

Finding a line segment that is the mean proportional to two given line segments

Constructing a square inscribed within a circle