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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
example 1 of interior angles in a hexagon

Sum of Interior Angles of a Hexagon

The total sum of all the interior angles of a hexagon equals 720°. The sum always holds regardless of whether … Read more

Categories Geometry
interior-and-exterior-angles-in-a-polygon

Interior and Exterior Angles of a Polygon

The interior angles of a regular polygon can be calculated using a formula. This formula allows us to calculate their … Read more

Categories Geometry
interior angles in a trapezoid

Interior Angles of a Trapezoid – Formula and Examples

The interior angles of a trapezoid always measure 360°. We have three main types of trapezoids: isosceles trapezoid, scalene trapezoid, … Read more

Categories Geometry
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