Stellations – Diagrams and Examples

Stellations – Diagrams and Examples

Stellations are formed when we extend the sides of a polygon and those sides intersect each other. The number of times the sides intersect outside the polygon determines the degree of the stellation. Here, we will learn more details about stellations. We will use...
Missing Square Puzzle – Diagram and Solution

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 of geometry and textual descriptions rather than simply relying on geometric figures. The puzzle consists of two right triangles with dimensions...
Special Triangles – Formulas and Examples

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 45°-45°-90° triangle has the proportions 1:1:√2. All the lengths of these sides can be easily found if we only know the length...
Similar and Congruent Triangles – Criteria

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 the other hand, congruent triangles have corresponding sides with the same measurements. This means that congruent triangles...
Triangle Inequality – Definition, Proof and Examples

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 of two of the sides of the triangle is greater than the third side of the triangle. If we have a segment that is greater than the sum of the other two...