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I.E.S. Padre Feijoo MATHS 2º ESO Vocabulary and definitions Geometry UNIT 11: SIMILARITY Similarity: Semejanza Similar figures: Figuras semejantes Similar triangles: Triángulos semejantes Sides: Lados Corresponding sides: Lados correspondientes Angles: Angulos Corresponding angles: Angulos correspondientes Thales’ Theorem: Teorema de Tales Pythagoras’ Theorem: Teorema de Pitágoras - SIMILAR FIGURES Two figures are similar if one is the image of the other under a transformation from the plane into itself that multiplies all distances by the same positive scale factor, k - SIMILAR TRIANGLES Triangle ABC is similar to the triangle DEF. Facts about similar triangles: As you can see: 1 – The ratio of their corresponding sides are in proportion: T The ratio of the corresponding sides is called the ratio of similitude or scale factor. 2. - Their corresponding angles are congruent (equal). 3. - An angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion. - PYTHAGORAS’ THEOREM In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. a 2 = b 2 + c2 Profesora: Merche Juárez Ferreras