Question

The length of ​ AB¯¯¯¯¯ ​ is 9 centimeters. A dilation with a scale factor of 2 is applied to ​ AB¯¯¯¯¯ ​ . What is the length of the image of ​ AB¯¯¯¯¯ ​ after the dilation is applied? Enter your answer in the box

Answer 1

Answer:

18

Step-by-step explanation:

Answer 2

Answer:

Scale factor(k) defined as:

$k = \frac{\text{Dilated image}}{\text{original image}}$

As per the statement:

The original length of AB is 9 centimeters.

A dilation with a scale factor of 2 is applied to ​AB.

⇒k = 2

We have to find the length of the image of ​ AB after the dilation is applied.

Using definition of scale factor:

$k = \frac{\text{Length of Dilated image AB}}{\text{Length of original image AB}}$

Substitute the given values we have;

$2= \frac{\text{Length of Dilated image AB}}{9}$

Multiply both sides by 9 we have;

$18 = \text{Length of image of AB}$

or

$\text{Length of image of AB} =18$

therefore, the length of the image of ​ AB after the dilation is applied. is, 18