Altitudes and Orthocenter in Triangles
A detailed guide to altitudes and orthocenter in triangles. Covers key methods, mathematical significance, and real-world applications.
Mathematics Category
Proofs Geometry
50 articles
≈ 500 min total reading
Angle Bisector Theorem in Triangles (Proofs Geometry)
A detailed guide to angle bisector theorem in triangles (proofs geometry). Covers key methods, mathematical significance, and real-world applications.
Angle Sum Property of Triangles Proved
A detailed guide to angle sum property of triangles proved. Covers key methods, mathematical significance, and real-world applications.
Area Formulas for Polygons and Their Proofs
A detailed guide to area formulas for polygons and their proofs. Covers key methods, mathematical significance, and real-world applications.
ASA and AAS Congruence Postulates
A detailed guide to asa and aas congruence postulates. Covers key methods, mathematical significance, and real-world applications.
Circle Area and Circumference Derivations
A detailed guide to circle area and circumference derivations. Covers key methods, mathematical significance, and real-world applications.
Circumcenter and Perpendicular Bisectors Concurrency
A detailed guide to circumcenter and perpendicular bisectors concurrency. Covers key methods, mathematical significance, and real-world applications.
Congruence of Triangles and SSS Criterion
A detailed guide to congruence of triangles and sss criterion. Covers key methods, mathematical significance, and real-world applications.
Converse of the Pythagorean Theorem
A detailed guide to converse of the pythagorean theorem. Covers key methods, mathematical significance, and real-world applications.
Coordinate Geometry Proof Techniques
A detailed guide to coordinate geometry proof techniques. Covers key methods, mathematical significance, and real-world applications.
Cyclic Quadrilateral Opposite Angles Property
A detailed guide to cyclic quadrilateral opposite angles property. Covers key methods, mathematical significance, and real-world applications.
Direct Proof in Geometry Explained
A detailed guide to direct proof in geometry explained. Covers key methods, mathematical significance, and real-world applications.
Dissection Proofs and Area Equivalence
A detailed guide to dissection proofs and area equivalence. Covers key methods, mathematical significance, and real-world applications.
Euclidean Proof Techniques and Axioms
A detailed guide to euclidean proof techniques and axioms. Covers key methods, mathematical significance, and real-world applications.
Euler Characteristic for Polyhedra Proved
A detailed guide to euler characteristic for polyhedra proved. Covers key methods, mathematical significance, and real-world applications.
Exterior Angle Theorem for Triangles
A detailed guide to exterior angle theorem for triangles. Covers key methods, mathematical significance, and real-world applications.
Hypotenuse Leg Theorem for Right Triangles
A detailed guide to hypotenuse leg theorem for right triangles. Covers key methods, mathematical significance, and real-world applications.
Incenter and Angle Bisectors Meet at Point
A detailed guide to incenter and angle bisectors meet at point. Covers key methods, mathematical significance, and real-world applications.
Inscribed Angle Theorem and Central Angles
A detailed guide to inscribed angle theorem and central angles. Covers key methods, mathematical significance, and real-world applications.
Introduction to Geometric Proof Methods
A detailed guide to introduction to geometric proof methods. Covers key methods, mathematical significance, and real-world applications.
Isosceles Triangle Base Angles Property
A detailed guide to isosceles triangle base angles property. Covers key methods, mathematical significance, and real-world applications.
Locus Definitions and Geometric Proofs
A detailed guide to locus definitions and geometric proofs. Covers key methods, mathematical significance, and real-world applications.
Medians and Centroid of a Triangle (Proofs Geometry)
A detailed guide to medians and centroid of a triangle (proofs geometry). Covers key methods, mathematical significance, and real-world applications.
Menelaus and Ceva Theorems in Triangles
A detailed guide to menelaus and ceva theorems in triangles. Covers key methods, mathematical significance, and real-world applications.
Parallel Lines and Alternate Interior Angles
A detailed guide to parallel lines and alternate interior angles. Covers key methods, mathematical significance, and real-world applications.
Perpendicular Bisector Theorem and Converse
A detailed guide to perpendicular bisector theorem and converse. Covers key methods, mathematical significance, and real-world applications.
Pigeonhole Principle in Geometric Arguments
A detailed guide to pigeonhole principle in geometric arguments. Covers key methods, mathematical significance, and real-world applications.
Proof by Contradiction in Geometry
A detailed guide to proof by contradiction in geometry. Covers key methods, mathematical significance, and real-world applications.
Proof by Contrapositive Explained
A detailed guide to proof by contrapositive explained. Covers key methods, mathematical significance, and real-world applications.
Proof by Induction in Geometry
A detailed guide to proof by induction in geometry. Covers key methods, mathematical significance, and real-world applications.
Proofs Involving Convexity and Concavity
A detailed guide to proofs involving convexity and concavity. Covers key methods, mathematical significance, and real-world applications.
Properties of Parallelograms Proved
A detailed guide to properties of parallelograms proved. Covers key methods, mathematical significance, and real-world applications.
Pythagorean Theorem via Geometric Proof
A detailed guide to pythagorean theorem via geometric proof. Covers key methods, mathematical significance, and real-world applications.
Quadrilateral Interior Angle Sum Properties
A detailed guide to quadrilateral interior angle sum properties. Covers key methods, mathematical significance, and real-world applications.
Rectangle Properties and Diagonal Equality
A detailed guide to rectangle properties and diagonal equality. Covers key methods, mathematical significance, and real-world applications.
Rhombus Properties and Diagonal Perpendicularity
A detailed guide to rhombus properties and diagonal perpendicularity. Covers key methods, mathematical significance, and real-world applications.
SAS and SSS Similarity Criteria Compared
A detailed guide to sas and sss similarity criteria compared. Covers key methods, mathematical significance, and real-world applications.
SAS Congruence Criterion for Triangles
A detailed guide to sas congruence criterion for triangles. Covers key methods, mathematical significance, and real-world applications.
Secant and Tangent Angle Relationships
A detailed guide to secant and tangent angle relationships. Covers key methods, mathematical significance, and real-world applications.
Similar Triangles and AA Similarity
A detailed guide to similar triangles and aa similarity. Covers key methods, mathematical significance, and real-world applications.
Square Properties Combining Rectangle and Rhombus
A detailed guide to square properties combining rectangle and rhombus. Covers key methods, mathematical significance, and real-world applications.
Symmetry Arguments in Geometric Proofs
A detailed guide to symmetry arguments in geometric proofs. Covers key methods, mathematical significance, and real-world applications.
Tangent Line Properties in Circle Geometry
A detailed guide to tangent line properties in circle geometry. Covers key methods, mathematical significance, and real-world applications.
Thales Theorem and Inscribed Right Angles
A detailed guide to thales theorem and inscribed right angles. Covers key methods, mathematical significance, and real-world applications.
Transversal Angle Relationships for Parallels
A detailed guide to transversal angle relationships for parallels. Covers key methods, mathematical significance, and real-world applications.
Trapezoid Properties and Midsegment Theorem
A detailed guide to trapezoid properties and midsegment theorem. Covers key methods, mathematical significance, and real-world applications.
Triangle Inequality Theorem Proof
A detailed guide to triangle inequality theorem proof. Covers key methods, mathematical significance, and real-world applications.
Volume of Prisms and Cylinders Proved
A detailed guide to volume of prisms and cylinders proved. Covers key methods, mathematical significance, and real-world applications.
Volume of Pyramids and Cones Derived
A detailed guide to volume of pyramids and cones derived. Covers key methods, mathematical significance, and real-world applications.
Volume of Spheres and Surface Area Proofs
A detailed guide to volume of spheres and surface area proofs. Covers key methods, mathematical significance, and real-world applications.