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vodomira [7]
3 years ago
7

.¿Cuál de las siguientes alternativas no corresponde a una transformación isométrica? A)Traslación B) Simetría C) Rotación D) Is

ometría C) Teselación
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

<em>D) Isometría</em>

Step-by-step explanation:

Hola, D es la respuesta correcta porque la isometría no es una transformación isométrica, veamos por qué.

Una Transformación Isométrica es el cambio de forma, pero no por tamaño ni forma de la figura.

A. La traslación es una transformación isométrica porque desliza la figura a otro lugar, sin afectar su forma o tamaño.

B. La simetría es una transformación isométrica porque técnicamente es un reflejo, una vez más no afecta el tamaño o la forma de la figura.

C. La rotación es una transformación isométrica porque gira la figura, sin afectar el tamaño o la forma de la figura.

E. La teselación es una transformación isométrica porque une la misma forma, sin afectar el tamaño o la forma de la figura.

Dejándonos con D.

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Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

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