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Semejanza de triángulos: problemas

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Semejanza de triángulos: problemas

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Problemas sobre semejanza y razones

Created by

Alexander Ramirez
Alexander Ramirez
Colombia

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Semejanza de triángulos: problemas
 

Semejanza de triángulos: problemasOnline version

Problemas sobre semejanza y razones

by Alexander Ramirez
1

1) Dos triángulos que tienen la misma forma pero tamaños diferentes. Sus ángulos correspondientes son iguales y sus lados mantienen proporciones. ¿Cómo se llaman estos triángulos?

Pistas

Pista: tipo de relación entre figuras semejantes.

Pista: no son congruentes por tamaño, sino por forma.

2

3) En dos triángulos semejantes, si en el primero un lado mide 5 cm y su correspondiente en el segundo mide 15 cm, y otro lado del primero mide 4 cm, ¿cuánto mide el lado correspondiente en el segundo?

Pistas

Luego aplica ese factor al segundo lado.

Determina el factor de semejanza con los datos dados.

3

4) En dos triángulos semejantes, un lado es 7 cm en el primero y 21 cm en el segundo. Otro lado del primero es 9 cm. ¿Cuánto mide su lado correspondiente en el segundo?

Pistas

Multiplica el otro lado por ese factor.

Encuentra el factor de semejanza entre 7 y 21.

4

6) La razón de semejanza entre dos triángulos es 1 : 4. Si un lado del primero mide 6 cm, ¿cuánto mide su lado correspondiente en el segundo?

Pistas

Aplica 6 × 4.

La segunda figura es cuatro veces mayor.

 
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