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Transcript
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