Construcción de desarrollos planos de conos y cilindros rectos En equipos de tres alumnos resuelvan los siguientes problemas.
1. Para una exposición escolar se debe construir un modelo de cartón de una bateria cuyas
dimensiones sean del doble que la original (figura 8).
4.5 cm
0 2.5 cm
Figura 8
a) ¿Cuánto debe medir la altura del modelo de cartón?
b) ¿Cuánto tiene que medir el radio de la base?
cDibuien en una hoia blanca su pronuesta de desarrollo na​

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

n

step-by-step explanation: