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A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?

1/9

1/3

3

9

A quadrilateral with vertices at A44 B4 16 C12 16 and D12 4 has been dilated with a center at the origin The image of D point D has coordinates 36 12 What is t class=

Respuesta :

Using translation concepts, it is found that the scale factor of the dilation is of 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, considering point D and it's image, the following translation happened:

(12, -4) -> (36, -12).

In general terms, we have that:

(x,y) -> (3x, 3y).

Hence the scale factor is of 3.

More can be learned about translation concepts at https://brainly.com/question/4521517

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