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Semejanza y Thales

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Semejanza y Thales

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(2)
Teorema de Thales, semejanza de figuras, criterios de semejanzas y homotecia

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pitagoras
euclides
Recommended age: 15 years old
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Jennipher Ferreira
Jennipher Ferreira
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Semejanza y ThalesOnline version

Teorema de Thales, semejanza de figuras, criterios de semejanzas y homotecia

by Jennipher Ferreira
1

Si K es la razón de homotecia, en la siguiente imagen. ¿Cuánto mide el segmento A´B´ si AB mide 20 cm?

2

Si la razón de homotecia entre los rectángulos es de 5:2, ¿cuál es la razón entre el área de ABCD y A´B´C´D´?

3

En la figura, L1//L2//L3, el valor de x debe ser:

4

En la figura, L1//L2//L3, si AB = 6 cm, AC = 10 cm y EF = 5 cm, entonces DE mide:

5

En la imagen, L1//L2, si AB= 2, BD = 6, y BC = 2, ¿cuál es la medida de DE?

6

En la imagen, BC // DE. Entonces x corresponde a:

7

Los segmentos DC y BE se interseptan en A. Si DE//BC, DC = 12 y AD =4, ¿cuál es el valor de x?

8

Si CE es bisectriz del ángulo ABC, ¿Con qué criterio se puede demostrar que los triángulos ECA y BCE son semejantes?

9

Si en el triángulo rectángulo ABC, la medida de AD = 3 y DC = 2, ¿Cuál es la medida de BC?

10

El área del triángulo ABC, corresponde a:

11

Si en el siguiente triángulo, AB = 4, BC = 3, ¿cuánto mide AD?

Explicación

Las figuras y sus lados mantienen la misma razón que la de homotecia.