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Matemáticas_3ºESO_UD08_Quiz Geometría del Plano

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Matemáticas_3ºESO_UD08_Quiz Geometría del Plano

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Quiz de geometría para 3º ESO

Created by

McGraw Hill
McGraw Hill
Spain

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Matemáticas_3ºESO_UD08_Quiz Geometría del Plano
 

Matemáticas_3ºESO_UD08_Quiz Geometría del PlanoOnline version

Quiz de geometría para 3º ESO

by McGraw Hill
1

En un triángulo rectángulo con catetos 3 y 4, ¿cuánto mide la hipotenusa?

2

Según el Teorema de Tales, si una recta paralela a la base corta los lados en 2 y 6, la relación entre bases es:

3

La razón de semejanza entre dos triángulos es 3:7. ¿Qué factor multiplica un lado de A para obtener el de B?

4

¿Cuál de las siguientes es un criterio de semejanza utilizado en geometría?

5

La distancia entre dos puntos A(1,2) y B(4,6) es:

6

El punto medio de A(2,3) y B(8,7) es:

7

La ecuación de la recta que pasa por A(1,2) y B(3,4) es:

8

Dos rectas en el plano que tienen la misma pendiente son:

9

Aplicación del Teorema de Pitágoras: en un escáner de 12 cm de diagonal y 5 cm de altura, la base mide:

10

Si un triángulo rectángulo tiene catetos 8 y 15, su hipotenusa es:

Explicación

Uso del Teorema de Pitágoras: c^2=a^2+b^2.

Las bases son proporcionales a los segmentos en los lados paralelos.

La razón es 3 a 7, por lo que B/A = 7/3.

AA es criterio de semejanza; LAL y LLL no corresponden a semejanza por sí solos.

Distancia = sqrt((3)^2+(4)^2)=5.

Promedio de coordenadas: ((2+8)/2,(3+7)/2)=(5,5).

Pendiente m=(4-2)/(3-1)=1, pasa por (1,2): 2=1+ b -> b=1.

Mis/relación de pendientes igual: paralelas.

Hipotenusa y catetos en triángulo rectángulo.

Aplicación directa de Pitágoras: 8^2+15^2=289=17^2.

 
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