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Thales' theorem diagram

Thales’ Theorem – Explanation and Examples

Thales’ theorem tells us that the diameter of a circle always forms a right triangle when we connect it to … Read more

Categories Geometry
3D Pythagorean theorem formula

3D Pythagorean Theorem – Formula and Examples

The 3D Pythagorean theorem is an extension of the 2D Pythagorean theorem that can be used to solve problems in … Read more

Categories Geometry
diagram of a triangle with sides and height

Equilateral, Isosceles and Scalene Triangles

A triangle is a three-sided polygon that has three vertices and three interior angles. The sum of the interior angles … Read more

Categories Geometry
diagram of stellated polygon- dodecahedron

Stellations – Diagrams and Examples

Stellations are formed when we extend the sides of a polygon and those sides intersect each other. The number of … Read more

Categories Geometry
animation of the missing square puzzle

Missing Square Puzzle – Diagram and Solution

The missing square puzzle is an optical illusion found in mathematics that is used to teach reasoning using the axioms … Read more

Categories Geometry
proportions of special triangles

Special Triangles – Formulas and Examples

Special triangles are right triangles that have special proportions for their sides. The 30°-60°-90° triangle has the proportions 1:√3:2. The … Read more

Categories Geometry
similar triangles by criteria side-side-side

Similar and Congruent Triangles – Criteria

Similar triangles are characterized by having corresponding sides with the same proportions, but not necessarily with the same measurements. On … Read more

Categories Geometry
triangle inequality with vectors

Triangle Inequality – Definition, Proof and Examples

The triangular inequality is one of the most commonly known theorems in geometry. This theorem tells us that the sum … Read more

Categories Geometry
example of similar figures

Similar Figures and Scale Factors

Similar figures are characterized by always having the same shape, but not the same size. These figures have equal angles, … Read more

Categories Geometry
interior angles in a pentagon with interior triangles

Sum of Interior Angles of a Polygon – Formula and Examples

The sum of interior angles of any polygon can be calculated using a formula. The formula is derived considering that … Read more

Categories Geometry
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