Free Geometry Tutorials, Problems and Interactive Applets

Free geometry tutorials on topics such as reflection, perpendicular bisector, central and inscribed angles, circumcircles, sine law and triangle properties to solve triangle problems. Also geometry problems with detailed solutions on triangles, polygons, parallelograms, trapezoids, pyramids and cones are included. Polar coordinates equations, conversion and graphing are also included. More challenging geometry problems are also included.

Area Of Octagon - Problem With Solution. Find the length of one side, the perimeter and area of a regular octagon given the distance between two opposite sides (span).

How to construct a frustum?. If you cut off the top part of a cone with a plane perpendicular to the height of the cone, you obtain a conical frustum. How to construct a frustum given the radius of the base, the radius of the top and the height?

Parallelogram Problems. Word problems related to parallelograms are presented along with detailed solutions.

Cone Problems. Problems related to the surface area and volume of a cone with detailed solutions are presented.

Pyramid Problems. Pyramid problems related to surface area and volume with detailed solutions.

Trapezoid Problems. Trapezoid problems are presented along with detailed solutions.

Triangles. Definitions and properties of triangles in geometry.

Inscribed and Central Angles in Circles. Definitions and theorems related to inscribed and central angles in circles are discussed using examples and problems.

Area of Triangles. tutorial is designed to explore the different formulas used to calculate the areas of triangles using an applet.

Parallel Lines and Angles. This tutorial is about the corresponding, interior and exterior angles formed when a tranversal line intersects two parallel lines.

Properties of Triangles. An applet is used to explore,interactively, the properties of triangles.

Thales' theorem. An applet is used to verify Thales' theorem: An angle inscribed in a semicircle is a right angle.

Regular Polygons. Tutorial to develop useful formulas for area of regular polygons.

Rotation Symmetry in Regular Polygons. An interactive tutorial to explore rotation symmetry of regular polygons and derive a formula for the angle of rotation.

Table of Formulas for Geometry. A table of formulas for geometry, related to area and perimeter of triangles, rectangles, circles, sectors, and volume of sphere, cone, cylinder are presented.

Graphing Polar Equations. This is tutorial on graphing polar equations by hand, or sketching, to help you gain deep understanding of these equations. Several examples with detailed solutions are presented.

Convert Equation from Rectangular to Polar Form. Problems were equations in rectangular form are converted to polar form, using the relationship between polar and rectangular coordinates, are presented along with detailed solutions.

Convert Equation from Polar to Rectangular Form. Equations in polar form are converted into rectangular form, using the relationship between polar and rectangular coordinates. Problems with detailed solutions are presented.

Geometric Transformations

Reflection Across a Line. The properties of reflection of shapes across a line are explored using a geometry applet.