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Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of AB¯¯¯¯¯ are at (0, -7) and (8, 8), and the endpoints of A'B'¯¯¯¯¯¯¯ are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?

Respuesta :

Answer:

1/2


Step-by-step explanation:


Based on the endpoints of the original shape and the dilated shape, the scale factor of the dilation is 1/2.

How is the scale factor found?

First find AB's value as:

= √ (x₂ - x₁)² + (y₂ - y₁)²

= √(8 - 0)² + (8 - (-7))²

= √289

= 17

Then find the value of A'B':

= √(2 - 6)² + (1.5 - (-6))²

= √ 72.25

= 8.5

The scale factor is:

= Value of A'B' / Value of AB

= 8.5 / 17

= 1/2

Find out more on dilation of the scale factor at https://brainly.com/question/10976850.

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