C.E.P.DIVINA MISERICORDIASIEMPRE ADELANTE! GEOMETRA 4TO. AO

PROPIEDADES : Si ; //

EJERCICIOS DE APLICACIN

1. Calcular x. Si : //

a) 50

b) 100

c) 110

d) 55

e) 65

2. Calcular x ; //

a) 16

b) 32

c) 24

d) 18

e) 20

3. Calcular x . //

a) 60

b) 36

c) 15

d) 30

e) 18

4. Calcular x , //

a) 10

b) 20

c) 35

d) 40

e) 80

5. Determinar el valor que puede tomar y; si x toma su mnimo valor entero.

a) 88

b) 104

c) 64

d) 62

e) 84

6. Calcular x; (//)

a) 60

b) 20

c) 40

d) 65

e) 30

7. Calcular x ; (//)

a) 54

b) 36

c) 64

d) 72

e) 108

8. Determine x ; ()

a) 60

b) 80

c) 100

d) 120

e) 140

9. Calcular x ; ()a) 66

b) 116

c) 86

d) 96

e) 80

10. Calcular x ,

a) 50

b) 30

c) 60

d) 80

e) 70

11. Calcular ; (Si : )

a) 0,5

b) 0,3

c) 2

d) 1

e) 1,5

12. Calcular ( ; Si () y ()

a) 62

b) 72

c) 82

d) 92

e) 102

13. Calcular ; Si ()

a) 5b) 4c) 3d) 2e) 1

14. Calcular x ; ()

a) 100b) 160

c) 150

d) 70

e) 120

15. Calcular x Si : ()

a) 20

b) 60

c) 80

d) 70

e) 100

TAREA DOMICILIARIA N21. Calcular x , ()

a) 50

b) 60

c) 75

d) 90

e) 45

2. Calcular : ; ()

a) 2

b) 3

c) 4

d) 3/2

e) 5

3. Calcular x ; () y ()

a) 60

b) 30

c) 20

d) 15

e) 10

4. Calcular Q ; Si : ()

a) 15

b) 30

c) 60

d) 45

e) 80

5. Calcular x , si :

a) 100

b) 150

c) 110

d) 120

e) 105

6. Calcular x , si :

a) 120

b) 60

c) 80

d) 40

e) 20

7. Calcular x ;

a) 66b) 25

c) 15

d) 60

e) 10

8. Calcular x ; si : :

a) (

b) 2(

c) (

d) 2(

e) (9. Calcular x ;

a) 20

b) 25

c) 45

d) 65

e) 162,5

10. Calcular x ;

a) 36b) 35

c) 45

d) 120

e) 10

11. Calcular x ,

a) 100

b) 60

c) 120

d) 15

e) 10

12. Calcular x ,

a) 40b) 80

c) 120

d) 100

e) 130

13. Calcular x ; ()

a) 60

b) 40

c) 20

d) 80

e) 100

14. Calcular x ; ()

a) 60

b) 45

c) 90

d) 36

e) 18

15. Calcular x ()

a) 20b) 30

c) 50

d) 70

e) 60

NIVEL: SECUNDARIASEMANA N 2CUARTO AO

NGULOS ENTRE RECTAS PARALELAS

L1

a

b

a + b + c = 360

c

L2

(

x

(

L2

L1

x = ( + (

(

z

L1

(

(

x + y + z = ( + (+ (

L2

x

y

Tales de Mileto (c. 625 c. 546 a.c).

Filsofo griego nacido en Mileto (Asia Menor) fue el fundador de La Filosofa Griega y esta considerado como uno de los siete sabios de Grecia. Tales lleg a ser famoso por sus conocimientos de astronoma despus de predecir el eclipse de sol que ocurri el 28 de mayo del 585 a.C. Se dice tambin que introdujo la geometra en Grecia. Segn Tales El principio original de todas las cosas es el agua, de la que todo procede y a la que todo vuelve otra vez.

Antes de Tales, las explicaciones del universo eran mitolgicas, y su inters por la sustancia fsica bsica del mundo marca, el nacimiento del cono cientfico. Tales no dejo escritos; el conocimiento que se tiene de el procede de lo que se cuenta en la Metafsica de Aristteles.

A tales se le atribuyen cinco teoremas de la Geometra Elemental

Los ngulos de la base de un tringulo Issceles son iguales.

Un crculo es bisecado por algn dimetro.

Los ngulos entre dos lneas rectas que se cortan, son iguales.

Dos tringulos son congruentes, si ellos tienen dos pares de ngulos y el par de lados iguales.

Todo ngulo inscrito en una circunferencia es Recto.

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