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Distancia entre dos puntos

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Distancia entre dos puntos

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Quiz sobre la distancia entre puntos

Created by

gian monica mejia rodriguez
gian monica mejia rodriguez
Dominican Republic

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Distancia entre dos puntos
 

Distancia entre dos puntosOnline version

Quiz sobre la distancia entre puntos

by gian monica mejia rodriguez
1

¿Cuál es la fórmula de la distancia entre (x1,y1) y (x2,y2)?

2

Calcula la distancia entre (3,4) y (0,0).

3

Si dx = 7 y dy = 0, ¿cuál es la distancia?

4

Si dx = 0 y dy = 12, ¿cuál es la distancia?

5

Distancia entre (-1,2) y (4,-3) es:

6

Si dos puntos son iguales, la distancia es:

7

La distancia entre dos puntos siempre es:

8

¿Qué indica la fórmula d = sqrt(dx^2 + dy^2)?

9

Si (x1,y1) = (2,5) y (x2,y2) = (5,1), d ≈ ?

10

¿Qué ocurre si intercambias x1 con x2 y y1 con y2?

Explicación

La distancia usa el teorema de Pitágoras en un plano.

d = sqrt(3^2 + 4^2) = sqrt(25) = 5.

Con dy = 0 solo se desplaza horizontalmente.

Con dx = 0 solo hay desplazamiento vertical.

d = sqrt((4-(-1))^2 + (-3-2)^2) = sqrt(25+25) ≈ 7.07.

La distancia entre el mismo punto es 0.

La distancia es una magnitud no negativa.

Se obtiene aplicando Pitágoras para diferencias en coordenadas.

d = sqrt((3)^2 + (-4)^2) = sqrt(9+16)=5.

La distancia es simétrica: d((x1,y1),(x2,y2)) = d((x2,y2),(x1,y1).

 
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