congruent segments

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• Isosceles trapezoid — An isosceles trapezoid ( isosceles trapezium in British English) is a quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid. Two opposite sides are parallel, the two other sides are of… …   Wikipedia

• Tarski's axioms — Tarski s axioms, due to Alfred Tarski, are an axiom set for the substantial fragment of Euclidean geometry, called elementary, that is formulable in first order logic with identity, and requiring no set theory. Other modern axiomizations of… …   Wikipedia

• Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… …   Wikipedia

• Hilbert's axioms — are a set of 20 assumptions (originally 21), David Hilbert proposed in 1899 as the foundation for a modern treatment of Euclidean geometry. Other well known modern axiomatizations of Euclidean geometry are those of Tarski and of George… …   Wikipedia

• Hatch mark — Hatch marks, sometimes also called hash marks, or tick marks, are a form of mathematical notation. They are typically used three ways: #Unit Value Marks as on a ruler or number line. #Congruency Notation as on a geometric figure. #Graphed Points… …   Wikipedia

• Law of cosines — This article is about the law of cosines in Euclidean geometry. For the cosine law of optics, see Lambert s cosine law. Figure 1 – A triangle. The angles α, β, and γ are respectively opposite the sides a, b, and c …   Wikipedia

• Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia

• Axiomes de Hilbert — David Hilbert Dans un mémoire paru en 1899, Les fondements de la géométrie ((de)Grundlagen der Geometrie), David Hilbert propose une axiomatisation de la géométrie euclidienne. Ce sont ces axiomes, qui ont été révisés au cours des éditions… …   Wikipédia en Français

• Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… …   Wikipedia

• Euclidean geometry — geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line. [1860 65] * * * Study of points, lines, angles, surfaces, and solids based on Euclid s axioms. Its… …   Universalium

• Congruence (geometry) — An example of congruence. The two figures on the left are congruent, while the third is similar to them. The last figure is neither similar nor congruent to any of the others. Note that congruence …   Wikipedia