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Desafío: Homotecia

Yes or No

Played 2

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¿Qué sabes de la homotecia? Verdadero o falso.

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Chile

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Desafío: Homotecia
 

Desafío: HomoteciaOnline version

¿Qué sabes de la homotecia? Verdadero o falso.

by Florencia
1

La homotecia es una transformación que se realiza respecto a un centro y una razón de similitud.

2

La imagen de una recta que pasa por el centro de homotecia es una recta paralela distinta a la original.

3

Las longitudes se multiplican por k en lugar de por |k|.

4

Con k>0 la figura resultante conserva la orientación; con k<0 se invierte.

5

Si la razón es k, las longitudes se multiplican por |k|.

6

Si k>1 la imagen siempre se ubica en el mismo lado respecto al centro para todas las figuras.

7

Para construir la imagen se dibuja una recta desde el centro hacia cada punto y se mide una distancia igual a |k| veces la distancia original.

8

La razón de similitud puede ser 0.

9

El centro de homotecia es un punto fijo de la transformación.

10

Los ángulos no se conservan en una homotecia.

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