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Geometría en el espacio: Transformaciones

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Verdades sobre transformaciones en 3D

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Dominican Republic

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Geometría en el espacio: Transformaciones
 

Geometría en el espacio: TransformacionesOnline version

Verdades sobre transformaciones en 3D

by Claudia Deoleo Méndez
1

Una traslación puede cambiar la orientación del objeto.

2

Una traslación mueve cada punto por el mismo vector sin cambiar la forma.

3

Una rotación en el espacio puede cambiar la distancia entre dos puntos.

4

Las transformaciones rígidas (traslación, rotación, reflexión) conservan las distancias entre puntos.

5

Una reflexión respecto a un plano no cambia la orientación del objeto.

6

Una reflexión respecto a un plano invierte la orientación del objeto.

7

Una escala uniforme en 3D conserva ángulos entre segmentos del objeto.

8

En el espacio, una rotación conserva longitudes y ángulos.

9

Una dilatación en 3D no altera ninguna medida del objeto.

10

Una escala no uniforme conserva las longitudes entre puntos.

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