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Desafío de Homotecia

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Desafío de Homotecia

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About this activity

¿Verdadero o Falso? Preguntas sobre homotecia.

Created by

Cynthia Raquel Reynaldo Valle
Cynthia Raquel Reynaldo Valle
Peru

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Desafío de Homotecia
 

Desafío de HomoteciaOnline version

¿Verdadero o Falso? Preguntas sobre homotecia.

by Cynthia Raquel Reynaldo Valle
1

Una homotecia es una transformación de semejanza con un centro fijo y un cociente k.

2

Si k = -2, la imagen es una copia exacta sin cambio de orientación.

3

Todas las rectas paralelas al centro quedan fijas en una homotecia.

4

Las longitudes de segmentos correspondientes se multiplican por el valor absoluto de k.

5

Si k>1 la figura se agranda y si 0

6

En una homotecia, cada punto P se mapea a P' de modo que OP' = k·OP, siendo O el centro.

7

Una homotecia conserva el área de la figura para cualquier valor de k.

8

El centro de homotecia cambia cada vez que se aplica la transformación.

9

Las rectas que pasan por el centro se mapean en sí mismas.

10

Los ángulos entre segmentos se invierten en una homotecia.

 
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