The length of AB¯¯¯¯¯ is 15 centimeters. A dilation with a scale factor of 0.4 is applied.

What is the length of the image of ​ AB¯¯¯¯¯ ​ ?

Respuesta :

The answer is 6cm. 

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Answer: 6 cm

Step-by-step explanation:

Given: The length of line AB = 15 cm

The scale factor for dilation is 0.4 .

We know that to find the length of the image after dilation ,we need to multiply the scale factor to the dimension of the pre-image.

The length of the image of AB is given by :-

[tex](A'B')=AB\times0.4\\\Rightarrow\ A'B'=15\times0.4\\\Rightarrow\ A'B'=6\  centimeters[/tex]

The length of the image of ​ AB = 6 cm